"You can no longer guess if the question hasn't shown up yet"
Nope I still can

And I can just spam rightclick - its always the right answer. Buggy

Just a couple of suggestions:
-Add a short delay (maybe like 3 seconds) at the start of each round where a player can not guess themself. I found a lot of players will spam secondary fire which ruins the game as no one has a chance to guess and the round ends immediately
-Either decrease the time you are frozen or remove it entirely. It was very jarring as a player being stunned and frozen every two seconds with how fast rounds end
-Disable player movement. There's no need for it and if your going to keep it at least increase (slightly) the space you have to roam
-If you can try to keep the rounds flowing. There's a lot of downtime for what is very little game time
-I don't know the numbers for this but it feels like the distribution is off. Take Symmetra for example I was always getting like what felt was 1 question where it asked her name while for other heros there felt like there was more variety. I think you did this because of line/code limit but honestly I think it would better off removing some heros to give room for more variety for other heros
-Ability name questions = bad || lore + voice lines and game interactions = good

But overall cool game mode and I had a good time playing it :)