The GRA own a few but they are all owned, apart from Poole I think, by private companies and/or individuals so would definitely not qualify for council grants, that's how it works over here afaik. You'd have to be a charity or suchlike to get help.
I guess Terry Russell still takes a cut out of the SKY money but he also puts some of it back I think, how much each club gets I know not but they do gain from it, the EL clubs at least.