I am also having issues connecting iPhone's via Bluetooth since upgrading to Monterey. It will Pair but will not stay connected. I also have received the message: " MBP is not supported" when attempting to connect directly from an iPhone. I did not have this issue on MacOS Big Sur (11.5)
I have tried connecting with the following on three different Intel MBP's all running Monterey (12.0.1):
iPhone 7P / iOS 14
iPhone 8 / iOS 14
iPhone 12 / iOS 15
I have attempted to correct the issue by following multiple suggestions:
Reset NVRAM
Reset SMC
Remove .plist
None of the recommended steps are working - hoping that Apple is all over this and will be releasing a fix shortly.
It would be helpful if a Moderator would acknowledge this as an actual issue that Apple is actively working to resolve or if I need to restore Big Sur to make this work again.