I would just stick with my guns if it was me. I always tell parents that we train right to the big potty or else we would have to train twice later on from a small potty to the big one.

I don't find it a realistic expectation that a DCP should be scooping out human poop from a child sized potty and dumping it in the toilet. I found it yucky with my own kids and switched to the big potty pretty quick once I was in training mode.

I also train DCKs right to the large potty with an insert. Some of my parents mention using the small potty and that is fine if that works for them but I never even entertain that I would do it here.

I also remind parents that it often takes longer to train at daycare because they often don't want to leave the fun activity or the group in order to go away to the bathroom by themselves. It is much easier for a parent to watch a child 1 on 1 in case they need to go whereas we are watching several children and often distracted by multiple needs.