You could control power with voltage, and the match (vs
metal loading) by frequency (looking for some peak or null
in a measurable quantity such as P-P current, at a fixed
voltage). You may need a series of knob-tweaks to home
in on it? I reckon an industrial system would probably
have either a fixed metal load, so no need to tweak, or a
"goal-seeking" controller that tunes match by either
tank C or frequency?
That linked module's coil looks pretty petite, and is not the
kind of configuration I've seen where the magnetic field
suspends the work in air, and cutting power drops the melt
out to whatever's below. That has a flared diameter, to use
the field divergence to levitate.