jacklines?

[osteoderm]

My preference is for temporarily-installed webbing jacklines, for several reasons. By only putting the jacklines out when you will need them, ie., offshore/overnight, etc., you keep the webbing out of the sun. Substantial lengths of webbing jackline roll up into very compact packages, so stowage is very simple.
As you're already aware, webbing cannot roll underfoot, but almost as importantly, it's impossible to mistake for anything else on deck. Cipping onto it is a no-brainer on a dark and wet deck; you'll be unlikely to clip onto any other (round) line accidentaly. Imagine the worst-case scenarios, with a cockpit awash with loose line tails, and yourself feeling around for that jackline from the companionway... Also, by laying flat, webbing presents less opportunity for other lines to foul on it by.