Now I think a lot of women are attracted to men who are more dependant and responsible, but I don't think this is how a lot of alphas act. A lot of men with a carefree and "irresponsible" behavior seem to get a lot of women especially in their 20s (they're expected to "mature" later. Some of them never do, which is why a lot of women say their men act like kids etc.)

I actually think TRPillers get something wrong. Some women do marry alphas, but a lot of these alphas never really mature or accept responsibility. A lot of these gamblers, alcoholics, abusers, slobs etc. who are married are probably people who were more "alpha" in their youth, which is why they got married in the first place.

"Risk taking" seems to be more alpha, yet risk taking is not always seen as mature and responsible if taken too far.

I think being responsible is more of a beta trait. It doesn't mean no beta traits are attractive.