Fun fact: the victory "V" used by Mr Churchill there was an adaptation of a gesture used by English longbowmen to taunt the French. It came about as a result of the French cutting off the index and middle fingers of captured bowmen because of how much they hated being on the receiving end of them. ...Or so the story goes. Tax:
Isn't that the truth of a lot of good stories? They're kind of like that fish that keeps getting bigger each time the story about the fishing trip gets told.
Sure, it is just... I guess it depends on why you are telling the story. For the fish you caught I may not care. Or the women you slept with. Not so nice examples: Tonkin incident. Or weapons of mass destruction in Iraq. Or the Gleiwitz incident. The one with the archers... I am torn. It contributes to the narrative of medieval people being barbarians. I don't like that much.
I don't think it would have bothered them much overall, as their worldviews would have been quite alien to ours in the modern era. I'm sure they'd in turn question how we get anything done with this nonsense about "human rights" and "civil liberties" when being of service at your station in life is clearly the superior moral high ground.
I think the more important aspect isn't whether they would care or not, it is whether we have changed much or not. The reason many weird stories about medieval times exist is that they were fabricated by the people during the so-called Age of Enlightenment to show how much better they were (and they weren't). It is something about our present society and how people look at it. It is important to compare yourself to a real past, not an imagined one.
A great example of falsified history is with the Spanish Inquisition. They did not go around killing hundreds and hundreds of people, this was a lie invented by the English Protestants to make themselves seem better and justified for leaving the Catholic Church.
All history is written by the successful and winners. In this age of fake news and social media we struggle to work out what happened yesterday, nevermind hundreds of years ago. Just realised this is 'just for laughs', so will retire from this subject to allow someone to make me laugh again!