Will we see robots or drones do basic functions on ships?

We have a repair bot that's one of the stretch goal rewards. AMX-1.

So yeah, we have repair drones, and other menial work has been tossed around as possibilities, like cargo handling. An important part is the hand artisanal floor cleaning, so we don't want to lose that. Mopping by hand is important. But maybe some places don't care about that level of craftsmanship in getting their floors clean, so maybe they would have an automated floor cleaner.

The military is still going to have janitors and stuff because you don't want to rely on technology too much.

Well, aren't sometimes the janitors also the mechanics?

They do basic internal service functions as well as the custodial staff. So it varies on ship and crew size how specialized they get. The fewer people you have, the more roles they would be expected to pull.