We log this information for a whole host of reasons. Many parents sadly don't get the chance to speak to an educator in depth to discuss their kids day, tracking medical needs, etc. A lot of parents don't even look at this, but it's useful to have if it's ever needed.

My only complaint, and this extends to all the genuinely important paper work we have to do is that we never get enough time to be off floor to do it.

Agreed on the diaper change one, but the first half is literally what you said with a timestamp. The nap one is important because if they did or didn't nap, you can adjust what you do after

I also think it’s dystopian but it is quite helpful information to know when they were fed and/or napped. If you pick up your child and they are unusually hungry or tired, etc it can be helpful. I doubt the caretakers have time to talk to each parent or they change shifts. Paper forms are popular at less fancy places

Let's not put the blame only on the parents. Anyone who has spent more than 30 seconds working for a corp would understand that taking credit for work does not mean the work got done.

Assuming the diapers aren't tracked by barcode and there isn't an independent inspector validating each operation, I would be MORE wary about my kid being well taken care of at a place that measures and tracks work this way. Especially since the types of management that would think this was a good idea are also the type to not understand how work actually gets done and drives to making the metrics look good at the expense of actually caring for human children.