Hi,
Yes since iPhone 11 Apple kindly paired paired the screens to the phone, which now gives users the display warnings (battery too)
You can get rid of these messages but you need to move the original screen “chip” to the new one, but if you don’t have the experience and equipment required you can destroy the new screen in the process.
The messages don’t affect operations of the phone and usually go away after a month - but will return if you reset or restart your phone.
There’s a ton of YouTube videos that show what’s required if you’re interested in looking.
Just search for iPhone warning messages.
Hope this helps