[two characters are talking in a bar, the light blue one of the left looks smug, while the dark blue one on the right looks concerned]
[light blue] Women are so shallow, they only want a tall good looking guy with tons of money
[dark blue] What about Brenda? She seems to really care and is always there for you
[light blue] Brenda? She's fat poor and ugly!
I mean, I've never heard it said explicitly, and our still-largely-partriarchical society does expect and therefore respect penis-havers to bring home the money. So, it doesn't matter that much, with how much money the person without the penis starts out with.
But I do think class differences implicitly still play quite a big role.
To some degree as part of secondary factors, for example you might look for an educated, physically fit partner, which a poor person cannot afford to take the time for.
To some degree, you just won't ever get to know certain poor people, because they might not be able to afford the same hobby as you, or shopping at the expensive store etc..
But even if you do meet someone and they could tick your preferences, it is easy to dismiss their interest outright as just being about money, if you can tell that they have less of it than you.
Even in a patriarchical society, you don't particularly want to be the guy where friends and family snicker that you're being used...