I have never seen anyone here fill out the hotel log. We usually let the FAs go first and they each fill out their own info and then we go and each of us fill out our own info. Never crossed my mind to fill the whole thing out. I help the FAs with the belts only if I am ahead and they are behind or it is the last flight of the day and I want to get to the hotel.
Why would I help them at other times? It is not overwhelming to them and its part of their job. Now, if they do my walk around for me when its raining or below zero then we are in business.