I'm basing this off of observations I've had over the years.
When it comes to money I don't think it really makes all that much of a difference unless we are looking at a man being on one extreme side of the spectrum or the other, projecting either being very wealthy or very poor.
I feel a man can get away with not having money up until around 25, as most guys in this age range are in college, training, just out of college and starting their careers, etc. Women in this age range are primarily going for men that they are physically attracted to who are also a lot of fun to be around, like to party, etc.
However, I feel that once a man starts approaching 30 and then goes beyond this becomes more of an issue. Women who are going for men in this age range will expect them to be fairly established, be able to support a family and seemingly have their career/financial game on point. If you get some guy who is 30 and doesn't even have a car and is barely getting by that is not a good place for him to be.
With that said, once you factor in the more extreme side of being lower on the financial totem pole outside of this really doesn't make all that much of a difference until you start getting into very high financial status or at least pretending to have it, which I've seen a lot. If you make 50k and another man makes 70k I really don't believe that most women will look at either men all that differently from that alone and instead will base it off of things like personal compatibility, attraction, etc.
Now, getting to the more extreme side of being financially successful definitely has some benefit. It's pretty well understood that elite athletes, musicians, etc. will be highly sought after but......I truly feel that the women who are holding out for men like this truly are gold diggers/social climbers. There are some real estate people that I know of in my area that flaunt wealth and these lavish lifestyles and naturally their social circle consists of both men and women that fit into this, so naturally they date each other. There are plenty of very wealthy individuals that live normal lives that don't feel the need to flaunt their money and in my personal opinion I believe this is a better way to live.
Something else that I can cite many examples of is men that are in fact very wealthy but project that they are poor (dressing slovenly, not living in a nice place, junk car, etc.). I feel that they do this in order to hide their wealth and don't want people to come sniffing around looking for handouts. I feel that this is an extreme for well off men that they should avoid as well and that it's better to live comfortably.