I gotta disagree with that opinion about 3-strand.
Twist rope does just that: it twists in use as the load goes over any kind of hard structure like a tree branch. Then when the load goes off the rope, it often hockles into a twisted up mess. TMD got it right: it will also twist a pulley up quick!
Short log sections tend to spin as they come down, then the rope can hockle up when the load is off.
The 3-strand rope is MUCH rougher as it passes over a branch. This increases the amount of damage done to a tree that is only being trimmed. The extra roughness does work as an advantage for lowering heavy limbs, especially if you are not using any load management tools like a port-a-wrap.
Knots tend to be rather permanent once loaded, much more than braided rope. So your job will not get done as soon, 'cause the groundies are always trying to untie the branch you just lowered.
If you are just looking for the cheapest, strongest rope for rigging, it's hard to beat arborplex. It's lifetime is not as long as stable braid, it isn't as strong, it doesn't handle as easily, and it seems to burn easier. So you are sacrificing some quality for a cheaper rope.
Also: it can't be spliced. 3-strand is super easy to splice, if you like working with spliced eyes.