I've been a Wikimedian for more than a decade, yet when I saw "Move" in the mobile page menu I went, "Huh, what's that button gonna do?" On a GUI, what one understands from crossing arrows is "You can move this in both axes." It just does not communicate what "Move" means in MediaWiki, which is essentially what is known as "rename" pretty much everywhere else. The current icon is at best unintuitive, if not misleading.
So I made two samples based on common rename icons.
Based on edit. I had to thin the pencil by 25% because otherwise there was not enough space for the bar to look like a bar.
Based on textDirRTL. If you center the cursor you may not have to create a separate RTL icon, but I find the off-center aesthetically superior.
The latter is arguably the more common type of rename icon but it may be more culturally-specific than the pencil at this point because people have grown up with little interaction with desktop computers with mouses. Material Design also adopts icons similar to the former.
