What the earth do you even mean, Lloyd Russel Mole? What other checks do you suggest?! He is confusing intersex and trans, too, isn't he?
I think he's following the line "trans = intersex, cos it's having a female brain in a male body, innit?"
Obvious nonsense - even aside from the logical/philosophical problems it's clear as day to anyone that transmen act like women and transwomen act like men, no matter how they claim to "feel".
If there is an opposite-sex brain there, then somehow they still act entirely like their own sex. And what we care about when legislating for is how people interact with others is how they act, not what they say about what they feel.
And that's the point - anyone can claim or believe what they want personally, and legislation won't get in the way. The legislation is to cover interaction with others. Who also have feelings and rights!
Meanwhile, quoting actual real research into trans brains (which turns out to make rather more sense given the behaviour) gets you suspended from Twitter:
twitter.com/FondOfBeetles/status/1496190823226089479