That one sounds like "I Will Fear No Evil", generally conceded to tie "Number of the Beast" as his worst novel. He didn't do a good job of thinking as a woman.
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.