Apple31419 - I find that fascinating too. As an Indian woman I was surprised to see how much effort is put into encouraging British women into STEM areas (and after all that, apparently the numbers are still low) when it is fairly common for Indian women to get into these fields without a second thought and zero publicly funded encouragement.
I think it's the result of lots of factors as you mention. In countries with high inequality and little to no government safety net in terms of benefits, there is immense cultural significance placed on education, as it's one of the few avenues to get into secure and well paid jobs, especially if you want to emigrate somewhere else.
When I started high school, I had to choose a 'stream' that would apparently set me on my future career path. We all had to choose from Science, Commerce or Arts.
The vast majority went for Science. Lots of parental pressure involved as well because it's viewed as prestigious. (Everyone wants to eventually boast that their son or daughter is a doctor or something.)
If you're not cut out for the high grades needed for Science, but you're still clever, you went into Commerce. It's not as prestigious, but if you eventually got into senior management roles or qualified as a charted accountant that was acceptable to parents as well.
Going into Arts was considered disappointing to parents. There's a perception that if you're not smart enough to qualify for Science or Commerce, you end up in Arts. I guess because the kind of jobs in these fields tend not to pay well or be stable unless you are really lucky and have outstanding flair/talent and end up a really famous fashion designer or make it big in the film industry.
So yes, I think the economic pressures in poorer countries lead women to make different career choices compared to wealthy countries where women have more choice and freedom to work in whatever field they like and still have (overall) a relatively good standard of living.
Although it's important to remember that lots of people in India still follow their dreams and might not get into STEM fields, however, they will be less likely to be able to emigrate as non-STEM qualifications are not in demand by wealthier countries. So there's international economic influences as well. If you want to eventually move elsewhere for a better life, then you're better off going into a STEM field as that's what US, UK etc are looking for - more immigrants in these areas to fill the gaps.