Do you anything to back that up?
I think the reasons are a little more complex. Handguns never really caught on in Britain, while they became the weapon of choice in the US.
The reasons had nothing to do with the "king's oppression" or "leftist uprisings". They had a lot to do with social values. Brits have lived together for a long time and don't resolve personal differences with guns. If things get to a physical level, then closer contact is preferred. Fists, feet, knives, bicycle chains, bats and bottles; thes are the weapons of choice for individuals and gangs. Not very civilized, I know, but less chance of killing each other. And, on the plus side, those who enjoy fighting get to do it again.
There is definitely a different mentality. Outside of war, there is little reason to kill other humans. Brits are very adept at ignoring the neighbors they don't like. They prefer growing hedges to building arsenals.
They are not afraid of their own police or military.
They live in a parliamentary democracy, where a government is subject to a vote of confidence at any time.
If the people wanted guns, restrictions would relax. Fact is, they don't want them. I wonder why.