It isn't logic, and I think that's the point--it's an appeal to emotion, and if you pit logic vs emotion, emotion will almost always win in the broader culture. (A few oddball cultures like ycombinator and lesswrong etc. aside, perhaps).
It's always a matter of availability, balance, justification, right. The justification is there, so your argument is a strawman.
It would be more relevant in a direct comparison to gun control, which. Blades are fairly easy to furnish on the spot, easier than guns, so this comparison fails, too.
Balance requires a need for knives, which is difficult to put aside and certainly not the point of this argument. The ball park figure alone is not making a rational argument.
The internet is not the breaking point either way, though it could be used to implement access control.
So, I am effectively unsure if your whatabout'ish strawman is in favour of intrusive regulation.