The chances of someone being armed and dangerous in general goes way up.
Watch Tueller Drill video, then factor in the police having to close with someone with an edged weapon, an option I as a civilian can almost always avoid. I say worse, because the public generally doesn't realize the danger people armed with knives poise.
The experience of Brittian is suggestive, it:
Started getting serious about gun control a century ago (fear of the Left, becoming panic with the Bolshevik's win).
Effectively outlawed the use of guns for self-defense in the '50s (courts) and '60 (statutory law).
Then went almost all the way to banning guns that might be useful for self-defense a few decades ago.
Hasn't helped violence, hasn't made much of a dent in "gun violence" as I recall, but could be wrong, and now the obsession is with knife control.
Which suggests a people problem, not an object problem.
(Then again, when the police are nationally centralized and used as a weapon to punish areas that vote "incorrectly" by mostly withdrawing their protection, you've got bigger problems, but again people problems.)