Fortunately it's not a problem for me, being an Xbox user, but wouldn't you still be forced to see him in your game if he was DLC? Obviously I don't know how it's working now (plus having the Season Pass it won't be an issue), but if the compatibility pack is for both Skarlet and Kenshi (instead of having to download both if you didn't get Skarlet's), wouldn't Kratos be included in that too? If so, that'd mean to not have Kratos in your game, you couldn't get any other DLC.
If he was DLC, I wouldn't HAVE to download the compatibility pack, and therefore would NEVER see him.
Even if I DID have to get the compatibility pack, I play 95% of the time offline.
So, NO, I wouldn't see him in it.