Would some burlap and or a tarp have helped gain traction in your situation?
I like the pulley system idea.
I got stuck in some suction mud once. It held the bike upright with no kick stand or center stand. It was winter, mid 30s clear skies the sun was setting and I was in the middle of nowhere 100 miles from home.
I got off the bike accessed the situation and my first thought is this pig (R1200GSA) is heavy and I am screwed. I got behind it and tugged it back a few inches at a time until I was in harder mud. I rested, put my gear back on, avoided mud and high tailed it home.
I was torn between labeling it a successful Adventure or a dumb ass move.