I just had an odd experience yesterday...(and this post became longer than I anticipated, summary at the bottom)
I had just entered the lobby, trying to get an auto-match game, not getting one after a couple auto-proposals with the same guy (he was level 6, I'm guessing he declined because I was level 33) so I unchecked the 2p box. Then I was proposed a game by a level 39 player and gladly accepted. King's Court, Laboratory, Bishop, and Possession were available, and I thought it would be fun to try to build a deck with only those cards, so it'd be good at Possessing and getting me VP tokens but nothing else. Didn't quite succeed in that regard, but when I played KC-Possession the first time, my opponent said this:
22:20 [opponent]: right
22:20 [opponent]: i hate possession
22:22 [opponent]: shame on me for not rejecting the game i suppose
22:22 michaeljb: King's Court makes it much worse
22:22 [opponent]: the card just sucks
A couple minutes later I had a bit of a big KC/Lab turn going, and while there were no Cursers in the supply, Black Market and Ambassador were also in the game, and I had picked up a couple Cursers from there (on a Possession turn) while my opponent had bought a Curse for his Ambassador. The Curses had run out, as well as the King's Courts and the Labs were just about to run out, but I honestly had not realized the Curse stack was out so I wasn't thinking about the 3 piles so much (there were also no +Buys).
He was understandably frustrated that I was taking a long turn when I could have ended it...
22:26 [opponent]: just buy a lab and end it
I didn't actually see this message till I played a couple other cards, including a KC'd Bishop, and the third time the Bishop played
22:26 [opponent]: dude
22:26 [opponent]: either end it or i log out and come back
22:26 michaeljb: i'd already hit bishop before i saw your message
22:27 michaeljb: ...and what would that accomplish?
tl;dr The best I can come up with that logging out and coming back would accomplish would be I would be sitting there for a couple minutes or something I guess, but more importantly then that I was just surprised that a higher level player would respond to Possession the way he did, namely 1) not prohibiting it in a game which he proposed, and 2) ignoring the card's presence and complaining about it when his opponent doesn't.