Heck, I’d just like to congratulate Imperial for inventing metal knobs that don’t fall off after the heat of expansion/contraction loosens them up.
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I know what you mean about getting some off though. The harsh and corrosive environment in some kitchens can ruin setscrews & such, or get in there around the D-stem and act like the knob is welded on.
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I’m guessing setscrews aren’t the obstacle you’re dealing with. For some knobs, I’ve had to use a set of flat screwdrivers to pry at each side equally as a gear puller would. I’ve never ruined a valve by doing that. I HAVE had to destroy some plastic (mica) knobs for their not wanting to be removed.