I would have handed it over to a dude too.
If I'd had any misgivings (which, given the locale, I clearly did not), I could have chosen to either finish my coffee before entering the funeral home, or tipped it.
Just because you are responsible and not likely to spill, doesn't mean the hordes of 7 & 8 year olds that frequent the arcade are equally careful. Why can one person break the rules, while others may not? That CM has no way of identifying how careful you are. Everybody drops things, spills things, knocks them over .... Not just the klutzes.
Sorry Sunshine, I'm still on the side of "finish it or tip it", before entering; which eliminates any possibility of your beverage being interfered with.