Ever watched some film about ancient Rome from around middle of 20th century? I am of course aware that the Romans didn't use shampoos and hairspray 2000 years ago, but that's the level of "incorrectness" that I'm used to accept in order to watch any such movie. Still, imagine that the protagonists in the same movie have Seiko watches -- that would be to me much more distracting.
I'm of course aware that in both cases for somebody from that time much more would seem "wrong."
Yeah, it is funny which kinds of anachronisms we accept and which we don't. In movies it is common to have people in authentic-looking historical costumes using modern language and having modern values and thinking. In theater it is often the other way around - historical texts acted in modern or anachronistic costumes.
I'm of course aware that in both cases for somebody from that time much more would seem "wrong."