I see no evidence of any force being applied. Women are free to chose their own relationship types same as men. Exceptionally few choose to be breadwinner supporting a stay at home father. Vastly more choose to be stay at home mom married to an income earning dad.
I think there is healthy demand from women to marry a stay at home father, but not enough supply of men who prepared to be a stay at home father from a young age, dreaming about it, excellent at cooking and homemaking, etc. Pipeline needs to be fixed before stay at home fathers can be common.
Also, healthy demand in the abstract doesn't mean that there is actually a way for men who really care about being a father to advertise that fact without creeping out potential dates.
Some might say that the freedom of not having to pursue a job while raising kids is sufficient economic reward.
Some also say that not everything that is valuable can, or should, have a price tag.
It's just like the feminist saying... "If men got pregnant, abortion would be available free of charge and without restriction in every town and city on earth." Women get stuck with this unrewarded and devalued specialized role.