extremely well. Pentatonics are only slightly extended arpeggios. Most pentatonic players learn to modify these scales through trial and error and/or help. This system will work even with all of this. It's like superimposing or using an overlay above a chord... or change (same meaning).
Many tunes do not stay in one key. They're called tonal centers. The system I espouse will get one through tonal centers, even with pentatonics, if the scales are learned thoroughly... only 5.
This system is a system for guitar players, that boils jazz, rock, pop and country into a few short pages. And it always works. This system will appear in many different ways depending upon curricula, but this is it in a nutshell.
A lie goes around the world before the truth gets it's shoes on. (Mark Twain)