Right now accounts for an investigation appear to be listed in order of account creation. This leads to some annoyance for the batches where a case has a lot of accounts listed, requiring that we use the button to expand the list to get at what are usually the most recent accounts and/or most active accounts (i.e. the ones we can actually likely check successfully). This is a paper cut that adds time to processing a case.
I'm not sure of the best way to present it. It might be valuable simply to list all of them and have a very tall suggested investigation when it happens. Then it's just a matter of scrolling past what are usually accounts that have never edited. (I suppose this task should be considered in the context of T405674: Add a subtle cue about whether a user has contributions.)