1) that assumes gun ownership has any bearing on someone's freedom. I'd say that's very much disputed.
2) a gun offering easier impulsive suicide strikes me as a good reason to curb their proliferance.
3) accidentally shooting yourself in the face is quite different from accidentally doing something that doesn't involve the destructive power of a firearm.
My point is that for many people, the 'freedom' argument doesn't really hold. Whether it does or doesn't, I do think the suicide/accident angle is a very serious one.
I've known people who have attempted suicide, and I am convinced that the risk to their lives would've been greater if they had a gun. I also know many people who have done really stupid things, whether as kids or teenagers or adults. I'm happy guns weren't in the mix.