Unclear if airpod pros use bluetooth at all if they are not playing any audio just doing noise cancelling. I suspect they don’t, and just ping the phone at intervals to stay connected.

But either way, the health impact of a bad night’s sleep is going to be so so so much worse than whatever small or nonexistent effect bluetooth has

Never thought about that. Isn't Bluetooth very low power compared to a cell phone or even if a microwave is running nearby?

Yes, it is low power, and it's also inserted a centimeter or so inside your ear canal, while a microwave is typically at arm's length

And it's inserted for much longer.