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This seems a bit odd.
If my ship is fully powered and I successfully refloat I may get damage, but if I fail then no damage occurs.
If my ship has damaged or failed propulsion and I successfully refloat then no damage occurs, but if I fail then I get damage.
It does seem odd, but I'll make a guess (and only a guess) that this is the rationale. If a ship has a normal propulsion system, freeing it from being aground may damage the shaft/screw/gears/whatever. If a ship has already damaged its propulsion system and is able to free itself, no worse damage is likely. If it is already damaged and goes "all out" to free itself and fails, it has wrecked its propulsion system to an even greater extent.
Still, I don't see why a challenge/response of some combination of dice could not be made for every case covered by 4.3.1 Powered Ships:
Full Propulsion and successful refloat
Full Propulsion and unsuccessful refloat
Damaged Propulsion and successful refloat
Damaged Propulsion and unsuccessful refloat
but that would take a change by Jim or a house rule by you...