This is much of a muchness but I would lean toward something like "basic" and "full" because admin is an overloaded term.

At the risk of being prescriptive:

In T286661: Create framework for fetching on-wiki information [L], we introduced the DefaultPresenter class, which took the responsibility of converting domain objects to Plain Ol' PHP Arrays from the RESTful API handler classes. Hiding information based on access level fits neatly into this level, the presentation level. I'd approach this by introducing a new presenter class, e.g. SuppressingPresenter, which uses DefaultPresenter under the hood but deletes information based on the user's rights:

class SuppressingPresenter {
    public function __construct( DefaultPresenter $defaultPresenter, PermissionManager $permissionManager ) { /* ... */ }

    public function present( array $info, UserIdentity $user ) {
        $result = $this->defaultPresenter->present( $info );

        if ( !$this->permissionManager->userHasRight( $user, 'ipinfo-view-full' ) ) {
            unset( $result[ /* ... */ ] );
        }

        return $result;
    }
}

Change 735935 had a related patch set uploaded (by STran; author: STran):

[mediawiki/extensions/IPInfo@master] Add getCountry to Info

https://gerrit.wikimedia.org/r/735935

Change 735942 had a related patch set uploaded (by STran; author: STran):

[mediawiki/extensions/IPInfo@master] Add access levels to ip information returned

https://gerrit.wikimedia.org/r/735942

@Prtksxna I just wanted to check in to make sure that

There is no indication to the end user that they are viewing a limited version of the information available.

didn't conflict with our current "show all potential information even if the user doesn't have access to it" implementation. Here's what the popup looks like with basic permissions:

And with full access:

Does this look okay? Did we want to show country and location at the same time?

Additionally, we don't have the following set up and I think these would require additional tickets:
Country*
Version
Connection owner - Is this different than ISP?
Static / Dynamic - not available w/data we currently have
Number of users on this IP - not available w/data we currently have

*I wrote something quick for this with https://gerrit.wikimedia.org/r/c/mediawiki/extensions/IPInfo/+/735935 to test out country vs location since I wasn't sure if we wanted to show both or one over the other

In T292626#7471546, @STran wrote:

Does this look okay? Did we want to show country and location at the same time?

Yep, just a single Location heading that would either show the full location or just the country.

Additionally, we don't have the following set up and I think these would require additional tickets

Set up in terms of viewing rights or showing them in the box?

Connection owner - Is this different than ISP?

Yep. This is userType (as seen in T264837). We changed the label after people had trouble understanding it in the usability tests. The figma mock, T269304 and T287647 have more details.

Static / Dynamic - not available w/data we currently have
Number of users on this IP - not available w/data we currently have

Does this mean that we won't have the data for the BetaFeatue, or that we just don't have it at the moment?

Since country and location are separated out here, do we still need to do T267403?

Ignore me, just seen this:

Did we want to show country and location at the same time?

Yep, just a single Location heading that would either show the full location or just the country.

Change 735935 merged by jenkins-bot:

[mediawiki/extensions/IPInfo@master] Add getCountry to Info

https://gerrit.wikimedia.org/r/735935

This is ready to go, just waiting for T295912: Grant `ipinfo-view-basic` right on beta [S]

Change 735942 merged by jenkins-bot:

[mediawiki/extensions/IPInfo@master] Add access levels to ip information returned

https://gerrit.wikimedia.org/r/735942

@STran ipinfo-view-basic rights has been implemented per current view:

In T292626#7536283, @imaigwilo wrote:

For ipinfo-view-full rights how can I set that up for my user with that rights, will that be implemented on another ticket? I also do not have documentation on the ticket on how to access/setup these rights.
Also for ipinfo-view-full rights; I did not see it listed in https://en.wikipedia.beta.wmflabs.org/wiki/Special:ListGroupRights

We're not going to be granting the ipinfo-view-full right on the Beta Cluster (see T270347: Remove 'ipinfo' right from administrators on the Beta Cluster) so this will have to be tested in your local testing environment.

I also do not have documentation on the ticket on how to access/setup these rights.

For a detailed overview see mw:Manual:User_rights. For this ticket, you can add the following to your LocalSettings.php file:

$wgGroupPermissions['sysop']['ipinfo-view-full'] = true;

which will grant the Admin user the right on your local testing environment.

I was able to confirm user with ipinfo-view-basic and ipinfo-view-full rights:

ipinfo-view-basic on Beta, see screenshot below:

Via my local environment I was able to test the ipinfo-view-full rights, see below

Change 753720 had a related patch set uploaded (by STran; author: STran):

[mediawiki/extensions/IPInfo@master] Allow ipinfo-view-full to see ASN

https://gerrit.wikimedia.org/r/753720

cc @Prtksxna ASN is in the designs but no one has access to view it atm 😅 I made an assumption but should ipinfo-view-full see ASN? Should ipinfo-view-basic?

In T292626#7619369, @STran wrote:

cc @Prtksxna ASN is in the designs but no one has access to view it atm 😅 I made an assumption but should ipinfo-view-full see ASN? Should ipinfo-view-basic?

You're right, since ASN can be used to get a better sense of location it should be in ipinfo-view-full.

Change 753720 merged by jenkins-bot:

[mediawiki/extensions/IPInfo@master] Allow ipinfo-view-full to see ASN

https://gerrit.wikimedia.org/r/753720

Below is view of info view full right. ASN field shows but no data is available. Although there is data for ASN. Is this okay? @STran

Below is view of info-view-basic. ASN field is also available in this view, is that expected per the description

Change 756653 had a related patch set uploaded (by STran; author: STran):

[mediawiki/extensions/IPInfo@master] Add asn to viewing rights

https://gerrit.wikimedia.org/r/756653

Change 756653 merged by jenkins-bot:

[mediawiki/extensions/IPInfo@master] Add asn to viewing rights

https://gerrit.wikimedia.org/r/756653

In T292626#7635426, @imaigwilo wrote:

Below is view of info view full right. ASN field shows but no data is available. Although there is data for ASN. Is this okay?

The data should be visible - the latest patch should fix this.

Below is view of info-view-basic. ASN field is also available in this view, is that expected per the description

This is correct.

ASN now shows for IP info, see below screen shot:

IP info below does not have ASN, and it shows accordingly per screen shot below: