As a parent who used daycare before -- I used to want to know for peace of mind that the plumbing was working as it should and also that my child was being changed regularly
Imagine if your child usually has a regular BM every afternoon after nap. It is Friday where you pick your child up from daycare. On Saturday you notice his stomach is swollen and hard and he hasn't pooped and he seems quite uncomfy. Wouldn't you then go back and consult your daycare sheet and see did the child poop Friday at daycare or his he now 2 days constipated and in pain?? It is little things like that.
or you pick your child up and he seems to be pooping every hour on the hour - you would check to see whether the same trend happened during the day and whether maybe they had a virus or something they ate affecting them.
It is always good to have as much info as possible because what if you have to go to urgent care at night and the doctor asks about your child's day and what they ate or what their diapers were for the day and you have to say "I don't know - they were at daycare". Eeks
I guess to parents - it is just good to have in case of issues and peace of mind
I tell parents about diapers as a daycare provider for those reasons. I know that I used to want to know. I have had parents walk in the door....check the sheet and see if their child had a BM yet or whether to expect one since they were going shopping etc.