Well Sgt-Major I have tried to stay out of this debate as long as possible. Seeing as you and Gangrel can bring the whole debate down to it's finest points. For your point YES! Yes, less availability would mean less access to firearms, less access equating to less death. Simple, but not so easy to do with all the guns that are owned by private citizens.
Now, being a gun owner and certified Firearms instructor, don't want the government telling me what I can and can't do with my firearms. Though, I think it is wise for them not to allow civillians to own Automatic Weapons, RPG's, you know weapons that have one purpose "KILL ALOT OF PEOPLE QUICKLY".
I have read tons of articles from Older Brits who can't stand the fact that gun ownership was taken from them. Here in the U.S. we have the 2nd ammendment so that the citizenry could protect itself from a government gone awry. What would happen in the U.K. if some PM decided to overthrow the government and the populace. Could the U.K. citizenry defend itself if the military were used? Not saying it would happen but that is why our founding Father's thought it necessary to include that little gem. Is it applicable today? I think maybe even more so, but only because I highly suspicious of elected officials .
The problem is that, no matter how restrictive we want Gun Laws and Gun Ownership to be, the crazy loons of this world will always find a way to carry out their plans. I think it is the body count that changes if guns were outlawed, not the evil people.