It depends. You're an author, I'm sure you understand this on a lot of levels.
Some missteps and oopsies can be forgiven but even in print there are things which destroy an entire story's credibility.
My first wife worked as a business manager for a guy who used to be a pretty well known screenwriter who decided to branch off into detective mystery novels.
He blew it first time out.
His protagonist was driving a VW Karmann Ghia that suffers a radiator leak. VW Karmann Ghias do not have radiators, they're AIR cooled. For God's sake, if you're going to engage something like that as a plot device, make it real.
And the little things Mason is talking about might be lesser offenses but they have a cumulative effect which ultimately jars the viewer or reader out of their willing suspension of disbelief. If a story is taking place in the Forties or Fifties, suddenly seeing or hearing stuff which is decades in the future breaks the illusion, sometimes in the clumsiest way imaginable.
For want of a nail a horse goes lame, as the story goes, and the "kingdom" is ultimately lost.
So, just as a two dollar switch doomed the Apollo 13 mission, careless inattention to the simplest ordinary details can doom a story. It's not just off-kilter license plates, it is often a general sloppiness and carelessness which creates cracks in the entire vessel.
People notice stuff like this every day. New Yorkers are scratching their heads because the city is testing EU style two tone equipment to see if it's easier on the ears and yet still effective:
https://www.marketwatch.com/story/y...your-ambulance-sirens-have-changed-2017-11-09