The name of my iPad is not updating.

I went to General-->About-->Name--> and changed my iPad's name.

When I go to the Apple ID section and scroll down, it still lists my iPad under its old name. It does not update on my other devices that have this list, either, such as my iPhone.

I signed out and back in of AppleID on that iPad, and now it's updated, but my other devices do not show the updated name. Will they over time?