I figured out the solution to this question. For my phones that are well out of warranty, the Settings > General > About > Coverage Expired menu item only appears when the phone is logged into an AppleID account, and the Coverage Expired menu item disappears again when the phone is logged out of the AppleID account.
I can't advise if display of this menu item will be contingent upon AppleID login status for phones that are in warranty, because new in-warranty phones are a bit outside my price range. : - )
It should be noted that depending on warranty and coverage status, this menu item may be named as Coverage Expired, AppleCare+ with Theft and Loss, AppleCare Services, Limited Warranty, and who knows what else. Source:
https://ios.gadgethacks.com/how-to/quickly-check-if-your-iphone-is-still-covered-by-apples-warranty-applecare-0334694/
Apparently someone at Apple thinks that in optimal UI design, a menu item should appear or disappear depending on context (rather than enabling or greying out) and further thinks that the same menu item should appear with different names depending on context. This is of course not how reality works.