Do both players need the DLC?

[Russinating]

Stupid question, and I assume the answer is yes, but do both players need to have purchased a DLC to play online on PS4? Would Share Play work (or is it rubbish due to upload speed my end)?

Game in question is Overcooked 2.

 

[.Lethal]

At the same time? Yes

 

[Russinating]

At the same time? Yes

Yeah, coop.