By focusing on getting laid over other aspects of relationship seeking, red pillers and seduction types stick to specific tactics to attract women, with concrete plans to get a woman to have sex with them. They call this "game". They get laid with these tactics presumably, or they'd probably stop using them, so they keep using these tactics to keep getting laid.

This type of "game" does not appeal to everybody, as you might intuitively expect. Not everyone is attracted to the same behavior and many people will see RP tactics as manipulative and reject on principle. Others will simply find it unattractive and won't pursue anything with anybody who does these things. This naturally leads to RPs interacting mostly with only those women who are attracted to red pill tactics.

I think this is the source of so many sweeping statements about women I have seen in my short time here. You're selecting for a small subset of women - women who are sexually uninhibited and enjoy playing that game with RP men. This ultimately is not a very big group of women, all things considered. But you stereotype based on what you see, and you're not spending all your time watching these tactics fail against all the other kinds of women, so you start saying "all women do this, all women do that, women clearly show that they like this". What you really mean is "all women who I spend time talking to, because they respond well to the RP game".

This ideology encourages men to go after a small subset of women who don't necessarily have the best personality traits and are attracted to manipulative behaviors. Then these men see that and reflect that onto other women, assuming that most other women are like the ones they talk to. This is a root cause of the disagreement between men and women here about what women like