Not sure exactly what you mean by "offset strike".
If you're suggesting a low pressure ("die adjustment") strike, I'm not sure I agree. The rims are fully struck on both sides and there's no symmetry of device weakness on both sides.
Strong rims and obscured devices almost always means a
Grease Filled Die was the culprit. Since the rim is actually part of the die, on a tilted die you would expect to see a difference in the rim from one side of side of the obverse to the other side of the obverse, just as in the example you linked to.
The depression could have been caused by the grease, or as Coop suggested by the die having been over polished.