That one sounds like "I Will Fear No Evil",
Or "To Sail beyond the Sunset", or "Friday", or "Podkayne of Mars".
Made me think Heinlein wanted to be a female and I was generally uncomfortable with it.
The danger of speculating on too little evidence. Did "Double Star" mean he wanted to be a egotistical actor? or "Job: a comedy of justice" mean he wanted to be a small minded religious bigot?
In any case which female did Heinlein want to be? Eunice, Maureen, Friday, Podkayne, Holly?
Heinlein wrote 90% of works as first-person, speculating that he wanted to be one particular character out of a hundred is not particulary productive.
He didn't do a good job of thinking as woman.
Sounds like a sub-set of Alleged Literary Lapse (2):"Heinlein can't create believable woman characters" examined by Spider Robinson in his essay "Rah Rah R.A.H!". (massively recommended by the way)
As it comes down to opinion any view on these question can be justified on the ground of "well. I (don't/)believe it".
So IMO. without seeing the author's name I would have believed that "Menace from Earth", et.al. were written by women.
You know, I think perhaps I have a right to form an opinion (at least a preliminary one) on an author after reading an entire novel by him. When a book is read, it's inevitable that impressions and opinions will be formed, otherwise it's not much of a book.
However, in this case, I have been hoping that my very tentative opinion might be wrong, and have been hoping that perhaps someone would demonstrate such. So far no one really has. Certainly the fact that he wrote many "first person" novels with different protagonists doesn't.
Nevertheless, I am hearing lots of good stuff, so am planning to try another book by the guy.