PF, at least on an industrial scale can be corrected. Capacitor banks for sure will work, and maybe an inductor bank. Depends on if current is ahead or behind voltage. Using iron core inductors with the core being 'movable' will vary inductance. I don't know what technology is used on that scale.
Why do you bother with PF correction? Your amp PS will still have the same electrical characteristics. Only what the power line 'sees' will change, and if you aren't being billed a low PF surcharge, why bother? PF correction is used on big scale factories so they don't get dunned an additional electric bill....a 'weird load' penalty. My company, for example, was getting tagged for 600$ monthly and PF correction would have a payback measured in decades. I haven't looked up your system, but if as I suspect, you have at least a dedicated line to anything short of a couple KW of A/B amp, than you should be ok with a 20 amp service!
Better results, (just an OPIN) could be obtained if speaker designers quit messing around. Some speaker loads are AWFUL and since they are tough to drive, IMPEDANCE gets (mostly) wrongly blamed.
As a Power Supply aside, my now ancient Carver Cube used an early version of what became his 'tracking' powersupply. I think this PS was voltage driven, since I could cause the lights in my house to flicker in time with the music.