If you think about it, when you think about yourself, there are two directions you can take: starting with details and then progressing upwards to an encompassing concept. So, like, I have this body part, and that body part, that equals I’m female. Or you can start from an encompassing concept and then progress to details. So, because female is a concept you have already associated with yourself, you can go directly when you are thinking, to I’m female, and then progress to detail of what that means for you, and what you associate with that concept and/or yourself, if you want to, or you might just stop at the thought I’m female. You don’t have to inspect your body each time you think about yourself and conclude you’re female afresh every time, in order to think you’re female, and you don’t need to think about what female means.
So, I think someone identifying as male, can be starting with I’m male as a pre-stored idea about themselves (i.e. developed in the past with no conscious recollection of the process, like how most people probably can’t remember the actual process of learning what sex they were), and where their idea of what ‘male’ means in association to themselves is not necessarily defined.
Then they think about what having the thought they’re male means, to varying degrees depending on the person. They might think it means they’re trans, they might think it means they’re in the wrong body, they might think it means they’re nonbinary, if they recognise also thinking they are female, etc. Maybe they might dismiss it. They might have a variety of beliefs about the origin of the thought (it’s a mistake to think they will necessarily believe the thought originates from a gender essence in my view). They might also associate different ideas to themselves via the concept of male, like toast topping preferences, risk aversion and so on like you say, lol.
So, I don’t think ‘male’ has a defined meaning in this sense. It could be more or less defined, and have different meanings for different people, and someone might not have done much of any real thinking about what it means to them.
Some people seem to have greater capacity for introspection than others, and I have noticed that some people do more introspection over time, and it can be thinking about what it really means for them over time that leads people to ‘detransition’ sometimes.
With some people I think you would be able to have a conversation with them about what they think, but how possible that would be and how much sense it would make would vary a lot depending on the person, how much thinking they’d done, and how open and articulate they were. Also, starting from stereotypes about what they might believe (wrong body, gender essences, gendered souls, pink and blue personalities etc) might well close down conversation before it started.
That’s my theory of what happens with some people. I don’t suppose it would cover everyone.
Hopefully that answers your question.