Does Darksiders Warmastered and Deathfinitive editions contain the DLC for the games as well?

I've always enjoyed the Darksiders games and universe. I have fond memories of the first 2 games years ago.

And as of such, I was super happy to hear DS3 was being made and has come out now. But as someone on a budget I plan on waiting for a sale and for the bugs and gameplay issues to be ironed out before getting it for myself.

In this time I want to replay the 1st and 2nd games but don't know if I need to get the DLC for the separate. I checked Steam and noticed that I guess since I've owned the first game for a while I already have the Warmastered editon, but I only have the standard edition of DS2.

I'll be happy to pick up the Deathfinitie edition for 2 sometime but want to know if these remasters come with all the DLC for the games as well.

I obviously want to play the best/most polished versions of both games but wonder if I need to purchase the DLC separately as well, or if they're included in the remastered editions.

I did try googling this but couldn't get a straight answer of what's included and what's not.

Any info would be greatly appreciated!