Left vs Right, to me at least, is the way we look at people who aren't the same as us. Left wing ideology is basically that each person should be viewed as an individual and, to the extent possible, be allowed to live their best life and pursue happiness. Right wing ideology is that society is a hierarchy and there are better people, who deserve the freedom to pursue their goals at great social cost (proportional to their position) because their innate greatness will improve society far more than the cost. Then there are worse people who should be restrained (proportional to their position) from pursuing their goals because their "degenerate" goals can only harm social progress.

If you listen to what he thinks about trans people I think it's easy to see he thinks they should be restricted while people like him should be free to impose "treatments" not backed by medicine to make the world "right".