I just flew Charlaori to Krakow and back with a US passport. In Belgum there was one person ahead of me in Poland there wasn't a line at the bag drop/visa check desk.
Since most pax are EU and checked bags are expensive there isn't a huge depand for assistance from the counter.
I don't remember if there is a date on the stamp, however each airport had their airport code/logo on the stamp. I wasn't doing a 24hr turn, but I asked in Belgum if they would stamp my return BP, I was told I would have to have it done at the return airport.