Personally, if they're too lazy to do a bit of paperwork, you kind of have to ask what else they can't be bothered to do.
That said, I've pretty much given up takeaways, they're rarely any good (or good for you). Restaurants, I will suspend belief, and assume everything is super-clean behind the door. I'll happily eat food I've dropped on the floor unless my wife manages to slap it out of my hand before I can get it in my mouth. She's got pretty good reflexes.