What Paul is enunciating is a view about the perceived dangers of firearms in the hands of private individuals. It is certainly the case that people having guns in their possession for other than essential purposes are regarded with suspicion by many people in Britain.
There have been four major incidents of "spree shootings" in Britain since 1987...
19th August 1987, Michael Ryan (16 dead, 15 injured)
13th March 1996, Thomas Hamilton (17 dead, 15 injured)
2nd June 2010, Derrick Bird (12 dead, 11 injured)
12th August 2021, Jake Davison (5 dead, 2 injured)
So far as I've been able to establish, each murderer had previously come to the attention of the police and each held a firearms certificate at the time of the attack. After each of the first three attacks, the then current governments moved to tighten the regulations still further without, it seems, attaining the intended result.
So it seems to me that Paul is advocating a not unreasonable opinion and one with which many others probably agree.