They won't because they need the revenue and profits. Because, once again, COD is huge.It's huge yes, but so what? What I'm trying to say is that Sony needs to let go of its gigantism.
It's one of the biggest multiplayer games. Telling all COD or Minecraft players "Just go to Xbox/PC. We won't allow these games on PS anymore because MS bought the IP" is stupid and Sony's investors would riot.
Microsoft would be happy though.