I don’t know if any of you forgo taking a rope up a tree in favour of a lighter option? I often climb tall conifers with a throw line in a nose bag. I use it as the service line once I top out.
This is a really bad idea on so many levels. Like Sean said, modern sub half inch climbing lines are not heavy. You really do want a way to quickly bail out when the need arises and it will at some point. Keeping lines out of danger and untangled is part of the trade.