I don't think that is so unusual. I view my social and professional personas differently.
I think the majority of the cisgender female population would like a female body but a male position in life, lol! Or at least get equal pay for equal work. That's why it's called male privilege.
I have had more than one lady tell me "be careful what you wish for" when they learn I am transgender and want to assume a female identity. Professionally, I have had a lifetime of male privilege, and at age 58 my career is winding down, so I am less socially invested in my job than most men are.
But I am not my job - one of the benefits, IMO, of being comfortable with having more feminine values - and I absolutely prefer social transactions as a woman. I should point out I do not have nearly as much body dysphoria since starting HRT, so that is not an issue for me. As you observed, it is simply more relaxing and comfortable to think and act as a female. I think where we differ is you want to retain a more aggressive, dominant male demeanor as a female even in a social setting. And that's fine. There are plenty of cis-women who no doubt enjoy that role.
With kindness,
Terri