I think that's where that little plot was going to go. Same with when she finds out about Max fucking Anne. She does mention that she wants to be included in things that are done with Lisa and later Anne, and when finding Max & Anne fucking in the bathroom, she does seem to get very upset that she's not involved in the fucking and/or not getting any from Max.
The problem is how her involvement with both was implemented. The "blackmail".
I put it quotation marks, because it becomes clear that she has no intention of doing anything with her "leverage" and just wants to be involved in doing things with them, but it was so badly handled (like Eric) in implementation, that it mostly leaves Alice looking like a self serving bitch.
Aside from Kira, Alice was the first one Max was having any kind of sexual activity with, and she does strongly hint that she's been open to that kind of thing the first time in the bathroom after coming back from the night club on a Friday night/Saturday morning.
She's also the first of the women in the family to begin to resemble Kira more, sexually speaking, no doubt helped along by regular nights out with her. Lisa though, is the one who seemed to best inherit Kira's cunning and planning when it comes to her "sex-ed" plan. Kind of a shame we never got more hints at her spending time with Kira outside of sharing ass holes for Max-imum dicking.
