But, gun ownership clearly correlates with gun related violence (i.e. violent crime). Less guns, less violent crime.

I'm not sure that's true. Less gun related violent crime, certainly. But that can lead to higher rates of other kinds of violence, as those who are good with knives or their fists are now the top of the food chain. It is not clear that the total amount of violence would go down significantly. (The total number of deaths might, though.)

For example, there is very little gun violence in the UK. But the amount of knife and fist violence might surprise you.

A number of stories on the front page of the BBC (UK) in the last week have been about the issues of the rise Knife violence. The band guns, and now there is an increase of murders via a knife. Bad people do not follow the law.

You do realize that personal gun ownership was always banned in the UK, like, since ever, right? That "statistic" you just tried to pass about how knife attacks increased when the UK banned guns, was completely made up.

"...but handguns were effectively banned after the Dunblane school massacre in 1996 with the exception of Northern Ireland."

https://en.wikipedia.org/wiki/Firearms_regulation_in_the_Uni...

They have not always had the outright ban they have now.

Knife Crime:

https://www.bbc.com/news/uk-42749089

With the number of fatal stabbings in England and Wales in 2017-18 the highest since records began - the BBC has tracked the first 100 killings in 2019 - revealing the people behind the headlines. - Mar 8, 2019

"there were 285 knife murders in England and Wales in 2017/18 — the highest number since the Second World War — and 34 in Scotland"

Not everything is black and white.

How much is the increase? If it’s not close to the increase guns would see, then it’s not that big of a deal. Guns would still be far worse. And I’m assuming that’s the case.

Correlation, not causation. Less violent environment leads people to wonder why they need guns, and so they give them up. Seems equally plausible as the contrary to me.