I've never heard of "Ableism" before.
When they say things like this, it is hard to take them seriously though. Even if you support a single payer health care plan and think that that a wealthy nation should provide health care to all, it still doesn't mean it is a right. Anything that must be provided for by another is not a right. Rights are not things which require actions of others, they are things that require inaction of others. For example, I have a right to breath or a right to speak my mind. Those are things that exist with or without a society. They are not things someone has to provide. I don't have a right to healthcare coverage.
Now there is a right to get health care without government preventing you from doing so, but there is no right that it be given to you or someone be forced to cover you.
That is a mental issue though, not a physical issue. It isn't medically necessary since the lack of it will not have an impact on your physical health other than what you may cause yourself. And a physical change due to a mental condition is not a medically necessary thing in my opinion. If your well being depends on it because of your mental state, it sounds more like a mental issue than a physical issue. Either way, no one should be forced to pay for cosmetic surgeries, even if we did have some kind of single payer system.
Of course that isn't my real concern, my major concern is that if we adopted a single payer system that some sickos would want it to cover abortion.
I agree that one should have the opportunity to access care without government infringement, but that is the extent of any health care rights that exist.
I find it odd, the person also seems to argue that some how opposition to government granting free healthcare to all makes one anti-feminist. Now I will admit I am not feminist and I dislike modern day feminism, but even still the two things are not linked. One can be a feminist and oppose government involvement in healthcare. Linking the two together just goes to show how warped a view some people have of feminism. Originally it was about equal rights, that is something I can support. But when it has warped to not being about just equal rights but about forcing everyone to treat you the same as a man and even forcing people to pay for your medical treatments, that is when I no longer support it.