Yes, but this depends on the women, various things motivate people. All women are subconsciously in competition with all other females in mate selection, they all want what is perceived to be (in their eyes) the best male.

So for the example you used; for small women below 5'5 having a much taller man becomes a (social) status symbol (in their own heads), she was able to defeat the competing taller women, also because of their own inferior complex they intentionally seek taller man only in their mate selection probably because they want taller which is perceived to them as better offspring. Hence why you see 5'2 women will do nearly anything to get and keep a 5'10 man and up.

There are plenty of women where the main specific criteria is wealth, whether that is minimally in the form of a middle income lifestyle or up, and it can take grandeur effects on them where they want a millionaire or a billionaire while they themselves are low class income cashiers. I go to luxury conventions and the thotts are a plenty, and we all know why they're there; networking to get more ins into parties so they find that rich man.

Shallow women themselves especially in their teens and early adulthood will specifically mate select a man on the basis of his looks and limited on his personality. At around 16-19 demands like a car come into play and a small income to afford to do fun things. Hence the 'bad boy phase' the majority of them have. Others will view this as a competition and uglier women will go too even deeper lengths to perhaps get the high status aesthetic Chad to cheat on his status symbol Stacy or get him to leave her outright. This creates drama and is another form of attention directed to the instigator.

Other will view the community aspect in the social order as the most important thing in mate selection and the will specifically look for men, such as a celebrity in their own town, their nation or globally. This can be in the form of a politician, business owner or movie actor and so forth. Hence you get dependapotomus women who demand they are addressed as Ma'm by base MP military guards because her husband serves in the Military.