Any serious libertarian would say it (like most things) is absolutely none of the government's concern, at least with regards to consenting adults. There's probably a range of views when it comes to kids, though. Conversely, they wouldn't be interested in having the government policing the treatment of trans people between private parties, so they'd oppose things like legislation that protects them (or anyone) from discrimination in hiring, as an example.

FWIW, the author - Jesse Singal - is a writer I've followed for a while. I like him a lot - I find him level-headed and intellectually honest. I don't think he'd characterize himself as a libertarian rather than a liberal, despite being published by Reason here. He's just a science writer who ended up on the "trans kids healthcare" beat and has written about it extensively. I think he'd characterize his position as just "a lot of medical treatments for kids are being pushed on [in his opinion] flimsy science for [in his opinion] ideological reasons"; and he'd say that this is a scientific position rather than a political one. Of course he takes a lot of crap for this, and of course he's also attracted a fanbase of bozos for this. But his writing, generally, deserves better than either.

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