Trading burns with your climbing partner works great when you’re working neighboring routes.
But what if you are interested in routes on opposite sides of the canyon? Your partner wants to start early for cool morning conditions, but you’d rather wait for the afternoon shade?
Consider a different kind of climbing day, where you and your partner split the day in two:
Your routes in the morning, my routes in the afternoon. No need to take turns or climb the same warmups.
Or perhaps you and your partner are interested in entirely different crags, in which case you could alternated climbing days:
I belay you today and take a rest day, you return the favor tomorrow.
Often, takings turns makes sense. But when it doesn’t, there’s no need to act like it’s a rule.