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I don't see why this is an issue. "Energy" is an abstract quantity,
not a thing-in-the-world. You can say it "resides" wherever you
like.
Can you design an experiment that favors one view over another?
As for the earlier question: I think I know why it is important to
distinguish between conservative and non-conservative forces, and
think I can design an experiment to see if a force is conservative.
I don't even make a big deal about "contact" vs. "non-contact" forces
-- in the end, aren't all forces "at a distance"?
So ANY force can be external or internal depending on the choice of
system.
Obviously, this has NOTHING at all to do with whether the
force is conservative or not.