Speaking as a drummer: yes, it’s completely different. The movements of a drummer are part of a single coordinated and complementary whole. Carrying on two conversations at once would be more like playing two different songs simultaneously. I’ve never heard of anyone doing that.

That said, Bob Milne could actually reliably play multiple songs in his head at once - in an MRI, could report the exact moment he was at in each song at an arbitrary time - but that guy is basically an alien. More on Bob: https://radiolab.org/podcast/148670-4-track-mind/transcript.