The F1 organisation or FIA aren't paying for the cars either.
I understand your opinion fully. I often see people who could be perfectly competing with those "fully" sponsored corporate overclockers, but strike out only because resources/time and so on. That's something really difficult to battle and I don't see it get any better in the future if marketing teams keep focussing on the short-term "world record" PR ideals. That hunt for "world-records" is what is driving a lot of the marketing departments, regardless of the impact it has on the community. We all know WR requires super-binned hardware and industry sources ... and only a few can have those .
The first effect of the new Pro competition style can already be seen today. Do you remember the idea to make a buffer for new hardware launches to prevent pre-release hardware to dominate the Pro ranking (link)? With the Cup, this problem is solved. The scores from the past Cup are as valuable today as they were before the Haswell launch and the scores for Haswell will only be of value at the end of the current Cup. Too bad no one has caught onto this effect yet .
Just like with anything in life, the change needs a bit of time to get traction. From what I gather of the meetings at Computex, the Cup is a lot easier to explain and understand by marketing (= "funding") teams. Most of them would like to join in on sponsorships for teams. It will be a matter of figuring out a good procedure to manage the sponsorships, which is something the "drivers" should figure out I think. I can help making the connections, though.