Problem with these discussions is guys tend to be thinking of stuff they see on social media, where girls are all made up and using the best angles and guys are all trying to project absolute success, and thinking all the hot girls want gigachads making a million bucks a month.
Walk around your local mall for an hour at midday, spot the hottest girls you can find with guys, and tell me if he's this gigachad that social media are telling you you have to be.
As far as the specific op question, it doesn't make much sense to me. What is financial independence? $40k a year? Lots of dudes making that and not getting laid. Lots of dudes making $100k and not getting laid. And lots of dudes bouncing around from one part time make-ends-meet gig to another, living life and getting laid with hot girls all the time.
Financial independence is of course useful, but it's not something a girl is specifically interested in. I've never been asked about that. What she's going to want to know is if you have a place you can get together alone, and if you're living your life on your terms. The rest is all highly negotiable, especially after you've fucked her well.
Of course long term she's going to want to see that you have good finances and prospects, but depending on the early impression you make on her (especially through your frame control, general attitude toward life, and ability to handle challenges), she will see you as someone with high potential, and will be willing to support you to help you get to where she wants you to be. Women love to find diamonds in the rough, so that they can become your indispensable support and weave themselves into your life story so that it's very hard to let her go once you reach success, as opposed to finding some already polished diamond who doesn't need her and with whom it's hard for her to create a robust link.
The whole idea of being a complete loser with no prospects LTR'ing a super hot girl is mcdojo territory, it's just a pointless mental exercise. But so is the idea you have to be some ultra successful high status dude. If you want a hot girl, you have to stand out in some way from the competition, she's not going to go and select you from the middle of the crowd. But there are myriad ways to stand out, from the way that you approach her to the way you treat her to the way you express yourself around her to the things you achieve in your life. As long as you compare very favorably to the competition in some way, so that she can be proud of you as her choice, you will have an opportunity with any girl. And as long as you are improving and developing and reaching more and more success over time, it will be hard for her to lose respect for you.
The stronger your frame control, the lower of a point you can start at and the hotter the girl you can do it with, but eventually she has to be able to say "this is my man and I'm proud to be with him". For some reason that matters to her.