I don't believe most do. I give them major kudos for serving, but just how many really want to be in a fire fight? Probably 1% or less.
As a side note: One of the best supervisors I served under was a female Chief Petty Officer (CPO), but that was during my short stint as a Naval Reserve Recruiter ashore. She was as butch as they come, but fair, competent, and gave me some my best evals ever. I respected her highly.
If I had joined the Marines (as I originally planned), she would have never made it through Marine "basic" because of her sleight stature. I decided on Navy because of a better fit growing up around the water and boats. Went to "basic" in San Diego and used to watch an ambulance follow the Marine runs just across the fence, while I had it easy in Navy "boot". Although it was tough for me since I joined at 25 - poor me...ha.
Again, no, I don't believe military women want to be combat ground grunts. But as I said above, if this is the position of DOD, then they get NO special considerations. It won't work and when the next war comes and we see our daughters come back in more body-bags and limbless, it will change back. The Israelis found out the hard way.
For some specialties, you can get a contract for the MOS and for the unit guaranteed.
When I went in in 80, the recruiter at the Depot, tried to lie to me and tell me he got me the 101st for airborne.
I advised him that the 101 was no longer Airborne. He showed me the unit patch with the Airborne designation. I informed him that that was for purely historical purposes.
After telling me that that was the only slot available...I thanked him and told him I’d wait for a slot. He continued to lie and I thanked him for the trip to Pittsburgh told him to have a nice day.
I waited for 2 hours and the Recruiter mysteriously came back with an 82nd slot that just opened up.
Bottom line is that eventually they will lower standards to allow women to qualify for Infantry and Special Operations units.