The left isn't concerned about suicides. At some level most of them support suicide. They are concerned about guns.
To clear up any possible confusion, I must clarify that of course suicide is not a natural right. But it is wrong in a realm beyond manmade law, and this is so, I think, inevitably from the logic of property rights, which are natural rights. I read a nook recently which half-jokingly came up with a few examples of practices which in comparison to their view of birth control Victorian Englishmen would find so diabolical that they wouldn’t bother mentioning, let alone condemning. One of them was collecting pictures of your daughter and poking her eyes out with pins. Which practice never has been illegal, to my knowledge, and is your politic right to do, assuming the picture is your property.
Obviously you have no natural right to score representations of your daughter’s eyes. I don’t know if it’s a sin, exactly, but seems like one. This in no way, however, affects your right of property over the picture, which includes the right of defacement. There’s our relationship to pictures and ourselves within the larger concept of natural rights, and there is the moral law restricting what we may do with our property beyond what the law can or cannot touch. Suicide is like that. It’s like poking your daughter’s eyes out by proxy, only much, much worse.