Personally, I just don't think there's a great demand for people wanting to watch First Class games. I mean sure, a lot of people watch the Tests in the summer, but beyond that, I just don't think people have the time with work, student things etc. to be able to sit down and watch 4 days of cricket. Much in the same way that FC games hardly draw a crowd anywhere at the grounds, beyond the dedicated older generation, who have the time to watch. Whereas I think One Day games and T20s can be fit in a lot more, as it's just a few hours to watch, rather than 7 hours for 4 days.
I mean personally, I'll come home from work during the summer and if I'm doing nothing else, I'll switch on the tv and watch a couple of sides that I don't care much for, play a 40 over game. I think that's a lot more appealing than finding time in the middle of the day to watch a past it pro, knock around for his 200 ball 50.
A lot of clubs do post FC highlights from a one camera view point, if people do want to watch. Maybe expanding on that would draw a bigger following, but obviously, there's not much of a financial incentive, as people are already paying plenty to watch games live/on Sky.