Film production used to employ a "Continuity specialist" to pick up glaring errors like these, but in the cost conscious world we live in I suspect this is no longer the case.
Most people neither notice or care, but it really irritates me.
The job of continuity is to make sure that the details are consistent from shot to shot, it is nothing to do with accuracy.
When you go to the theatre you have to take a lot of things as representations and I am quite happy to do the same for film and television. Too many films now use CGI to produce scenes that may be totally accurate but look like a computer game. I would much rather watch a production that has been shot using real people and machinery, even if not quite the right ones.
