No, being far left only means believing that the majority needs protection from economic predators, with monopolies on the wealth needed to build the means of production.
As well as protecting other individual rights.
We have always seen these abusive few.
Historically they start as pirates or caravan raiders, and work up to being barons or kings, through hiring thugs.
The whole point of the American Revolution was to get rid of them.
But they came back as corporate mogul's, slumlords, etc., who get police to be their thugs.
Locker rooms seem very different.
While it may be true that one internally could be a different gender/sex than what they appear externally, it seems to me it is the external appearance you want to go by as far as locker rooms.