In regard to people believing she was stupid for playing a fake idol
In my opinion it was easy for someone to look at her and say "she was dumb" for her move but she didn't have, If you recall correct, much in the ways of options because old zhan hu was out numbered. She also stated that she wasn't sure that it was immunity and that she found it on the ground. So although people label her a moron for playing a fake idol I say it was more of a last ditch effort to save her self which resembled an actual gameplay move
the thing is tho when someone plays a fake idol it calls into question the validity of other people's idols in the minds of the players if that makes sense