Experiment: go to the range, find 10 men or women under the age of ~35 with AR-15s. Ask if they play first person shooters. Pretty sure over 75% will say "yes."
I am not an FPS person myself -- I like nethack and freeciv -- but aside from the fact that even violent video games are unambiguously protected by the first amendment, the demographics just can't be ignored.
"but aside from the fact that even violent video games are unambiguously protected by current first amendment jurisprudence"
You wouldn't have to go too far back for your original statement to be iffy or downright false; that said, I don't see this changing in the foreseeable future, but then again the Supremes are never entirely predictable.
The law overturned in Brown [originally -- in irony of all ironies -- Schwarzenegger] vs. Entertainment Merchants Association was created by a fellow who is currently better known for gems like these: