Your relationship with that socialisation was very different to mine. We both experienced similar pressures and expectations, and we both received similar privileges based on the way people perceived us, but our lived experience of that was very different.

An analogy is a closeted gay man that has to marry a woman and have kids due to social pressure. He receives many of the privileges of being straight, but it comes at the cost of himself. Calling that straight privilege erases that cost to him, and the price he had to pay by faking a role that wasn't his.

Nuance is important, and some privileges are real. But being forced to be perceived as someone that you aren't is not a privilege, and that shouldn't be ignored.

I would say that at the very least it's not a term that you as a cisgender person would use to describe any transgender person.

If a trans person decides to describe themselves that way, for whatever reason, that is up to them. But it remains a term that should be used by trans people about themselves.

Important to consider is that many transgender people have big time internalized transphobia. I struggled with it a lot. You (might) go through years, decades, of denying who you are to yourself, hating the aspects of yourself that dont conform to the general idea of the gender you were assigned at birth, and that doesn't just disappear when you realise and start transitioning.

I'm not saying every trans person in this thread who describes themselves as "male socialized" is doing so because of internalised transphobia, I'm just suggesting it is worth bearing in mind.