Usually when watching a movie if it is good enough I don't really notice the anachronisms and weird mysterious changes in the middle of scenes, etc..but if the movie is crappy I'll often look for things for the fun of it. The original Midway had some visual screw ups and there were problems with historical accuracy with some of the way it was plotted, but it was a fun movie, I love the all star movies like that, they just don't make them like that any more (what was it Gloria Swanson said in Sunset Boulevard, the movies got smaller since she left? *lol*). I saw a trailer for the new one, I just hope it is better than the trailer looked, the CGI was distracting, looked like a phone app video game.
Back to the original topic, they always seemed to have problems getting it right with them. There was one movie (I am trying to recall the title now) where the main character is sitting in a train at the station, the camera turns away, and the train is already at full speed when it pans back. I saw another movie where the main character (who apparently must either have been an extreme foamer or a railroad guy) manages to hop aboard an engine and tender (that appears to be dead cold), fire it up and get it moving before those chasing him can get there... I suspect a lot of it is cost, either they are using stock footage, or simply, with the case of the guy in the train station, when they edit the movie miss the obvious gaps/blunders. Even these days where they can use CGI to redo some things relatively easily, a lot is missed.