After a bit of googling this issue, I think it's safe to say that when you buy the GOG version of Hotline Miami 2, no money whatsoever will go to Overkill, as it doesn't have the PayDay tie-ins that the Steam version has. Dennaton Games and Devolver Digital are the ones responsible for the game, and Overkill doesn't even have a distribution deal with GOG to begin with, so I really think there's no way you're giving Overkill any money when you buy Hotline Miami 2 here.
I couldn't find any word of an agreement between Overkill and Devolver or Dennaton, outside the Steam thing they have going, as well. There's always that possibility, but I highly doubt Overkill would get any money from a version of the game that doesn't have any connection with their PayDay franchise.
Also, Dennaton and Devolver are way smaller than Overkill, and I don't think it's likely they share sales revenue with Overkill, a bigger studio, if Overkill has nothing to do with the game.