I just listened to this again, and now I hear the two instruments during the instrumental section as two people having a passionate, important conversation. It first happens from 1:06 to 1:28, with the first instrument "speaking" until 1:17.

The lyrics sound like the internal monologue of someone in a relationship, just before they open up to their partner about their feelings and give them a chance to respond.

The conversation then continues at the second and final drop at 2:34 where the first instrument says something slightly different, but the response is still the same.

Do you also hear it?

This experience reminded me of Don't Starve where the characters have instruments as voices: