Well, I'm not sure I need to call in as I think it's pretty easy to duplicate.
I've also verified that I can duplicate both problems on three different systems that have been upgraded to Monterey.
Keyboard issue: Confirmed further that it only impacts the client side remote-controlling the host. If I turn off host screen blanking, I can type directly on the host with no issues. On the machine remote controlling the host, the keyboard input issue continues i.e., as if the FN key is being held down. I've tired both PC and Mac as the remote-control initiator and can duplicate the issue.
Screen Blank: Confirmed on three different machines that a window in the action of being set to full screen, or return from full screen, becomes visible on the host during the grow/shrink animation.