Why not?

I mean, what's there to it?

Tutorial Island -> Count Check teleport -> optimal route through the floors w/ question door rng + monster rng -> Completion.

If you wanted to collect the rewards, you would have to set up authenticator every time as well, so I would assume we wouldn't do that.

Timing would probably end once you use click on the last chest even if you don't have authenticator.

Not much to the category itself, but that shouldn't stop you from running if you want to run it. I would consider throwing it on as a misc category or something if enough people do it.