First, scut work is a a standard term, anyone in medical school, or who works at one, or at any hospital for that matter knows what you mean.
Second, this all falls under curriculum. It is fair to ask which hospitals students rotate at, if there are plans for expansion to other facilities/locations. M3/M4 scheduling limitations, ability to take time to do research (a month or whatever). That stuff you can ask adcoms.
The politically correct way to talk about scut work is "service vs. education". service = free/cheap labor to do the menial tasks upper levels don't want to do, but need to get done. Education = learning medicine. Every medical school and residency is a balance of both, but it can vary substantially. A major selling point of Yale's gen surg and vascular residencies was, "We just hired 30 NPs/PAs to do the scut work so you can just operate and practice medicine". It is something important to be mindful of, but I would aim the question at current students, not faculty. I don't think anyone would get offended, but I don't think adcoms/faculty necessary realize the rounding team's inner workings.
All of that having been said, I went to a service >= education medical school. But when I showed up in residency, I could dictate whatever I needed to reasonably well (most people struggle a lot starting out) keep a list well updated/managed, coordinate a team, change just about any dressing/wound vac by myself and sort out seemingly stupid floor issues. Be wary of super protected schools/programs. Part of learning medicine is getting your ass kicked a couple of times with information overload. None of that stuff is "medicine", but if you are efficient at getting stuff done, you will be served well in residency. Nothing drives people crazy than a consult taking you an hour or holding up rounds because of whatever you aren't very comfortable with.