I took a toon from 15-90 stationary in OG, only doing dungeons. I was studying and watching movies so I was always there.
You will notice pretty quickly which dungeons that require extra attention, botting a healing class is imo preferable. People doesn't notice
a healer as long as they dont die, in my experience.
Some dungeons you should monitor very closely is: Blackfathom depths, Black rock depths (had alot of problems with that one) and Dire Maul.
Notably, if you wipe, or if your bot dies and decides to release, it will run straight for the group. This means that if you die, the bot will suicuide into uncleared mobs until you manually get to your team.
Another problem is that it automatically follows the tank, this makes for VERY SUSPICIOUS BEHAVIOR if your tank is doing weird shit like afking/running around weirdly etc.
Lastly: If you group splits, the bot will run between them, about halfway, back and forth, until they gather.
In summation: Most dungeons will work fine, if you're a healer you are extra safe.
Follow-the-tank makes botbehaviour extremely suspicious if the tank isnt playing traditionally (moving forwards until dungeon completes)
If your bot dies and doesnt get a ress, it pretty much HAVE to be manually controlled for a while.
Hope that helps.