I think a good solution for that would be to let people decide on their favourite games, then give the devs like a couple of days or a week to update the games if they want to, and only after that check them, so that noone gets in anything nasty.
Like, again, in the Monke Jam, Monkeet did get into the stream with an update, which means that the mods didn't check the games immediately after the voting was over, hence devs should have a period to be able to improve their upcoming "judgment by Mousey and chat day" experience. After all the monke jam stream didn't happen right after the voting period ended, it took a few weeks, so maybe with this one there should be some time as well.
I do see why now this is a complicated question, since it wasn't considered before, but i hope that if there are going to be more jams in the future, that this question will be answered in the rules from the start. Like I understand the concern of the hosts, since it's their first game jam (most of them didn't even have an itch.io account before), but the updating post-voting period really shouldn't be one of them, as it's not a problem in the wast majority of other game jams. With this one being so similar to the Monke Jam, and that one also did not have a problem with updates. :D