MGTOW is the black pill, the red pill is "don't ask for lighter burdens but broader shoulders" and maximizing your potential. Real red pill is doing what you want to do, regardless of what others may think of you. Honestly, it's people and the connections we build with them that really gives life meaning, working together to build something of value isn't something exclusive to sexual/intimate relationships. Whether we like it or not, we'll always have this burden of performance as people of both sexes judge you, either as potential partners or rivals, so don't think this behavior is exclusive to women.
Healthy relationships can be built, even when working against adversaries, but both parties require each others respect. What you choose to do is up to you, but don't label yourself as part of some ideology as that's how we get a lot of blind followers who don't come to their own conclusions. Do it because it's what you believe in, not because someone else told you.