Giving into looks theory means giving into all of the black pill, which means admitting that us incels are right that we have a reason to be mad at the injustice of the world.
But blue pillers don't actually reject the idea of there being conventional attractive people, nor do they reject the idea of there being "leagues" and that you shouldn't try to date above your own, they just don't admit that to incels. Look at any debate between red pillers and blue pillers, you'll quickly see blue pillers gladly admitting that it's obvious that women find certain men inherently attractive and unattractive and that only autistic red pillers could have ever come to the conclusion that women don't care about looks. They know that the halo effect exists, they know that ugly men will be treated worse inherently, they know that truly ugly men have a very small chance of finding a partner (And that ugly men are also more likely to be abused and harassed for reasons that have nothing to do with their personality), they know that race will affect your dating pool size, they know all of that and are conscious of the fact that they're being two faced when they say that the black pill is wrong. I can post plenty of examples of this from over at /r/purplepilldebates
But when they attack incels they'll make sure to deny looks theory to their dying breaths because they have to keep pretending like there is no injustice that has been done to us by nature, society, or women, and that we have absolutely no reason to complain about being incels. They have to pretend to us that personality is 100% what matters in getting a relationship, and that there are no other factors, because otherwise we win.
Blue pillers play by very different rulesets when arguing with black pillers/incels than when arguing with red pillers/PUAs/MGTOWs. The entire point of the black pill is that human nature has doomed us to the bottom of society and we will never escape, so the blue pill was forced to play by a completely different set of rules against us since if they didn't then we would win every argument against them by default since we're subhuman in looks.