Yes, it is indicative of societal issues that women outnumber men in lower pay, lower status careers like teaching and nursing whereas men outnumber women in higher pay, higher status careers like tech.
Nursing also pays quite well -- perhaps not quite the level of FAANG salaries, but six figure salaries in nursing are not at all uncommon, and relative to the education required to get into that career it is a very good return on investment. Also, nursing is absolutely not a low status career by any metric I know of either.
You're trying to make a point, I get that -- and perhaps you could use other career fields to make it more legitimately, but the previous poster has a very good point as well. People gravitate towards careers that interest them -- my mother was never going to write software because she has no interest in that field, but she loved to teach and chose to do so her entire life. I love to teach as well, but I don't have the aptitude for dealing with an academic career.
One of the things I appreciate about Japanese society is the fact that pretty much anyone who has a profession is proud of their profession, is paid well for it, and it's generally not considered proper to look down on someone for their position. Everyone contributes to society and that's how it should be.
You mention college professor as a high status position, which I think supports the point I was making, as whilst the majority of school teachers are women, the majority of professors are men.
As to people gravitating towards careers that interest them, I think that is begging the question a bit, as it avoids considering why people gravitate towards the positions that they do. Are women more likely to go into nursing than into tech because of some intrinsic preference, or because nursing is much more frequently presented as an appropriate career path for them than tech, and they can currently see a lot more women doing that than applying to YC or whatever? I would suspect the latter.
Nursing, to me, is a relatively high status field that offers a good salary and a great deal of flexibility.
Maybe in the 50's we were telling women they could only be nurses or teachers, but that's really not been an issue for a lot of years. There are plenty of women entrepreneurs, and I know plenty of women engineers -- I've worked with them and for them, and they've worked for me over the years. While this doesn't fit the new narrative, I haven't seen anybody telling women they can't be engineers or whatever else they want to be for a long time now.
Men dominate fields that require physical labour (farm work, construction work), risk taking (soldier, fireman, policeman, professional driver), bad working conditions (mining, waste disposal), long separation from home (sailor, travelling salesmen).
Why are comparisons made only to the most desirable jobs while forgetting about the rest? I think feminists only have an issue with the top 1% of men, only care about equality with them.