You have that exactly right. Croix has spent too much time interacting with these types. Yet their views of what constitutes an "alpha" male are not Catholic.
You don't even know me. The fact is I spend very little time on no more than one or two of those sites. Both are YouTube channels, and one speaks more about "manosphere" topics, but it actually has criticized manosphere & MGTOW, too, and the other one rarely talks about those issues, but recently it addressed MGTOW and it was also critical of it. The terms "LARP", "Alpha"/"Beta", etc. are more used by people commenting on the live chat. It's merely coincidental that they use it and I use the same terms. Your Post Hoc fallacy is that I started using those words after I viewed those YT channels. Moreover, I spend far more time on CathInfo than those sites.
These would classify Our Lord as a "beta" because He turned the other cheek. This worldly notion of alpha would have males dominate, use, and abuse women for their pleasure and never give in to them on anything and refuse to sacrifice anything for them.
I never argued from that warped perspective. The fact is the word "meek" in Hebrew means to have the ability to physically impose your will or domination over another person, but you refrain from it in situations where it's not necessary. You don't arbitrarily push another person or nation around for a sense of pleasure or a greedy, self-serving agenda. You only use force and dominate when it upholds a righteous cause (God's Divine and natural law; and self defense, etc).
Meek is not being physically weak or ineffective. Being a weak person is not a virtue because there's no ability to harm another person. With a lack of ability, there is no true free will in that area.
Jesus Christ is an alpha male. St. John the Forerunner was an alpha (or sigma). The apostles were alphas after Christ ascended into Heaven.