This comes down to the intent, doesn't it? It would be different if you had no sign but on the door that opened if someone pushed it because it was badly design

This comes down to the intent, doesn't it? It would be different if you had no sign but on the door that opened if someone pushed it because it was badly designed. People on HN argue this with openly accessible APIs fairly regularly "ah but the machine let me do it, they must be OK with it" and I think that goes down badly in court.