Female dating strategy believes gender roles expectations for women should absolutely be eliminated. Women shouldn't be expected to be caretakers, and are fully capable of leading their own careers and deserving of the same respect. This is absolutely reasonable, but their approach to dating resembles 20th century courtship behavior of demanding to be pursued every step of the way with the man initiating everything. Having women be prizes that men compete over and essentially earn like a job promotion is what contributed to the misogynistic mindset many men had over the years.

The red pill on the other hand favors the gender roles of the man being dominant, in charge, and overall the breadwinner. They want to be the head of the household, and have much more traditional beliefs on gender roles and marriage. At the same time, they're outraged at the idea of a woman trying to secure the best man she possibly can and being "hypergamous." If you want society to basically return to women catering to men, don't be shocked when they don't want to cater to some 25 year old with a dad bod and receding hairline.