Not necessarily, my program offers great mentorship and outcomes despite being non-MSTP, perhaps, we might be amongst the most desirable non-MSTP (and hopefully MSTP in a couple of years). We have a considerably higher percentages of women (>50%) and URMs (>20%) than national MD/PhD standards. The one thing that I believe is most helpful is to show that you are able to effectively "nurture" the MD/PhD careers of those groups. In our program, almost 1/6 of our students have children (all but one of students with children, have more than one kid; ~ 40% of MS-3+ have children). Some geographical areas are less expensive, thus, helping to support a young family.
Regarding specific question by the OP, I don't think that women have an easier chance of getting into MD/PhD programs. Gender isn't considered and, currently, URM status is only a factor, within a factor, within a factor, that leads to get an invitation for interview. Once interviewed, gender and URM status don't have any additional value, passion for science and demonstrated commitment to a MD/PhD career are the driving forces for an admittance into our MD/PhD program.