Yes, and that was not my experience. Individual people can be catty. I have many reasons why I think women are mislabeled this way and they're not pretty so to speak. Been working full time a total of 18 years and part time 7 years. Worked part time in all female environments during high school and college -so add on another 8 years. Have worked in a huge array of environments. I'm not a feminist and I hate that stereotype and its origins. And I have tons and tons of indirect experience through my husband, friends, family friends, colleagues, former classmates, you name it. I can't stand that catty label and it really holds good people back and not just women. Ick.
When my MIL passed away my husband - was grief stricken. Me too. And it was so hard in the years before she passed. We loved her so. I encouraged him to seek out grief counseling through his employer (it's an employee assistance program -a fairly typical service). He did not but it never ever occurred to me (1) to have any concerns about the gender of the counselor; or (2) what he would choose to share even if not directly related to the loss of his mom. And as I wrote above I'd never have asked him about his sessions other than maybe "oh you had your session - hope it went ok!" - in my experience men can show more reluctance to seek counseling -he was not depressed in that sense but obviously it was a huge loss and her illness and our care for her and his role in it as an only child -I mean obviously I was there to support him and help. And -I'm no professional!