The stereotypical female shopping habits are high-quantity, mid-quality and low price

Don't forget that status signals radically change between social classes.

Lower-middle females indeed shop for a lot of cheap items because the status signal is "I can afford new things" or maybe even "I can afford to buy things".

In the upper-middle class, it's rather about whether you can afford that bag with the magic words "Louis Vuitton" inscribed on it.

And in the upper classes you have to make agonizing decisions about whether to wear a McQueen or a Balenciaga to the Oscars (oh God, but what if there will be other McQueen dresses there?!?!!?)

Or you might go for countersignaling and just release a sex tape X-D

A dominant person wants to have a high rank and if he or she cannot have it then would much rather exit the group and lone-wolf it instead

I see no reason to define dominance that way. A dominant person is just one for whom social dominance is a high value and who is willing to spend time, effort, and resources to achieve it. And, of course, it's not either alpha or omega, there is a whole Greek alphabet of ranks in between. Being a beta is fine if there are a lot of gammas, etc. around.

the group acceptance oriented person will keep asking "Are we still friends?"

A dominant person doesn't ask questions like this to start with :-) It's a very submissive question.