I think all examples from topic #13449 should not be tagged hime cut. The same goes for most examples above.
I'm not sure about post #3920900 since you can have a hime cut but temporarily put the sidelocks behind the ears for example so they don't get in the way. It wouldn't stop being a hime cut but maybe it wouldn't be one for tagging purposes? post #1295735 might be similar.
As the Japanese Wikipedia mentions, the hime cut is a modern version of a traditional hairstyle. In the old days, having bangs hanging down on the forehead was for girls, while adult women usually had parted hair like in post #4172496, so that one also isn't a hime cut.