Considering that they're basically the Borg collective of games publishing and a known dev killer, I'd say not much if at all. Honestly, they're still evil, and I still don't like giving them a single cent.
I should note, though, I've still bought a few games from studios they've eaten here and thus given money to them, but only on really steep discounts. As in, about 3 bucks for Dungeon Keeper Gold and Dungeon Keeper 2 combined, and similar for the entire Ultima series up through 7. There are, after all, limits to the games I'm willing to forego completely on the basis that EA gets a few cents from the sale. There's hard, uncompromising moral principles, and then there's never getting to play Ultima 7. When you put it in the light of the latter, it gets much harder to not buy it when they won't even get as much as a dollar from the sale of that game due to GOG's cut.