I wasn't paying attention to all of the show, but did they ever try to find a resting possibility?
Because this is as typical an old school D&D situation as you can get: Stuck in the middle of the dungeon, only a few doors away from the next enemy and trying to get in any time to regenerate.
Time pressure and the world moving on are also more or less baseline Adam, so going by what he said at the end, he seemed as if he expected them to rest and maybe not be in time for whatever's happening.
I'd say it's part of the learning curve of this kind of D&D. This is also not the show were you can half ass your knowledge of the rules, you forget how your class feature works and you die, so you exploit the shit out of any advantage you have.