I get what you're saying, but also, it's an intellectually bankrupt idea. For the idea of male or female socialization to have any consistent meaning, it must assume some cultural universality in the constructs of of maleness and femaleness. Additionally, lending the idea credence requires ignoring the reality of cultural, regional, and individual variation in the ways that individuals are socialized. It's one of thos e things that make sense if you don't think too hard about it.

The use of "male socialization" (it's invariably "male socialization" because trans men are invisible to transphobes) to invalidate the gender identity of transgender folks without discarding gender altogether raises too many intractable questions to survive scrutiny. Is a girl raised around men who make no meaningful distinction in her treatment, who is a tomboy and ends up working in the trades and considers herself "one of the guys" "female socialized" despite the fact she has neither knowledge nor interest in what the dominant culture considers feminine? If the answer is yes, it can only be the saddest, most technically correct "yes" imaginable. If it's a yes, it's a useless yes that illuminates nothing.