Exterior continuous insulation on a tiny home?

For a home that’s moved only a few times in its life, is it possible to securely fasten rigid mineral wool as exterior insulation?
I assume you can’t use exterior insulation under a metal roof. Is it dumb to have better insulated walls than the roof? I mean, if the roof is the weak point in the insulation, is it wasted money to throw that exterior insulation on the walls?
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