Just tried to take a screenshot of a photo in LR iOS, tap on the thumbnail, hitting done in the top corner and "Copy and Delete". This results in freezing whatever app is trying to paste (ex. Messages).
Doing this from any other app works just fine, so this is definitely a LR bug.
Welcome to the Lightroom Community. I could not recreate this with IOS 16.2 running on two separate devices, just as you described.
Please share a screen recording of this behavior. What iOS are you working on? Check if your Auto-add is enabled in Lightroom app > settings > Import > Photo & screenshots. You can disable this as a test, although I could not see a difference on my end.