The only teams IMO that make sense to add either CMD or Drai are all in the West IMO. I think most of the teams in the East aren't really looking for a centre and if the Oilers make such a trade, it should be an obvious 1-2 year retool vs a rebuild.
Kings - Future heavy package for Draisaitl and aim to contend. Edmonton integrates prospects over 1 seasons. But prospect heavy is a terrible idea. This is also potentially "the trade" all over again.
Jets - 2 roster players and futures (ie: Scheifele+) both teams retool and aim to contend... but Oilers still looking for a goalie
Flames - For obvious reasons it's a nah. But almost everyone knows we need a 1C and/or a 1RW. The BOA would get very awkward very fast as well.
Preds - Similar to Jets. Upgrade a 1C to elite C. Both teams retool and aim to contend... but Oilers still looking for a goalie
Seattle - Acquire Draisaitl to build around over next 2-3 seasons. Sell everything else Edmonton needs at low cap to give CMD 2-3 seasons of nearly guaranteed contention? (Goalie, Dmen, depth etc.)
Out East, I think most teams wouldn't mind adding those guys, but they'd be worried about seriously messing up the make up of their teams. 8.5/12.5 AAV of roster movement is a lot and there's always the risk that it takes longer than expected to fully integrate the player you acquire or that you're punching a bigger hole than you fill in.
Sens/Sabres - In this case, you're hoping to boost either team to contention by nabbing a ton of high end futures. The Oilers in theory would integrate those players within a year or so and then return to contention... but this is the Oilers. Going prospects heavy is a terrible idea.
Flyers/Devils/Isles/Rags/Jackets - All seem like a bit of the same. With how the East is a bloodbath, they cannot guarantee to make significant strides forward if acquiring either player. They could stumble a few steps back just as easily as making a leap forward. They can't offer what the Oilers need without scuttling themselves.
Bolts/Canes/Panthers/Caps/Pens - Perhaps don't want to mess with a good thing. Chemistry is just as important as quality players.
I think anyone would love CMD or Drai, but it seems the roster maneuvering out East is far trickier than out West. Interconference trades of such players are going to be etched in the walls of NHL history as genius or shame forever.