How is this any different than "guns don't kill people, people kill people?"
With bikes, in a different context, something similar applies: What causes fatalities isn't bikes themselves but how the roads, rules, other people/vehicles and social conduct around bike use use and sharing of roads are.
The analogous argument one way would be quibbling over whether it's the driver or the car. The analogous argument the other would be saying it's the shooting victims fault for being in a place where they are likely to get shot (bad neighborhood, in a position to surprise or threaten an armed individual, or maybe just in America)
[1] https://injuryfacts.nsc.org/all-injuries/deaths-by-demograph...
Of the 1,360 bicyclist deaths in 2022, 928 died in motor-vehicle crashes and 432 in other incidents, according to National Center for Health Statistics mortality data. Males accounted for 87% of all bicycle deaths
In terms of guns, the reality is that people with guns kill people. An intent to kill plus an instrument designed to do so easily is often a lethal combination. People don't just kill each other more often when they have access to a firearms, they are also far more likely to kill themselves. [1]
The risk to cyclists and other road users also comes about by way of a combination of factors: poorly designed roads, lack of protected cycling lanes, lack of adequate pedestrian infrastructure, oversized vehicles, distracted drivers and so on. I suspect there are also a fair number of cases where cyclists/pedestrians make mistakes or engage in risky behaviour.
As a society, I don't think there is too much we can do in terms of altering people's behaviour. We can, however, do a great deal to alter the built environment to slow cars down and make things safer for other road users. Plenty of cities have made huge progress with this. There remain plenty that are terrible, and in my experience, many of the worst ones are in America. I think the last American city I was in was Vegas and my gosh, I would never want to cycle there. By contrast, I recently visited Montreal and was stunned by how good the cycling infrastructure was.
1: https://med.stanford.edu/news/all-news/2020/06/handgun-owner...
Your footnote doesn't support the first statement you made which I don't think is accurate, at least not to a significant degree.
One would argue it's a similar situation even further in that the SUV/Truck also isn't the problem, it's the inattentive driver that runs a person over. If you have a vehicle with the worst safety ratings on the market driven through a crowded city by someone who is adept at driving, there will likely not be an issue, just like if you have a responsible gun owner going to the range every week to fire off a few rounds, you likely won't have an issue.
People are always the problem. The regulations at play are generally built around the idea that if you don't give fallible people access to things that are either dangerous when handled by those unprepared, like an oversized truck, or things that are just designed to kill when someone doesn't really need one, that you minimize the chances of something going wrong.
https://www.hsph.harvard.edu/means-matter/means-matter/saves...
Cycling isn't dangerous, being on the street with cars is dangerous. Being on the street on a bike is dangerous, walking down a street is dangerous. Heck being in a compact car on today's streets with oversized/overweight vehicles is dangerous.
It's important to be precise about the source of the danger because it correctly identifies the problem.
There's a big push right now to ban people from buying and registering Kei cars with the argument being that they're too dangerous on american roads. If that argument holds, firstly, then it flows logically that they can nanny state people off of their bikes and motorcycles as well using the same argument. Secondly, Kei cars are not dangerous, getting hit in a kei car by an oversized SUV or "light" truck is.