Since the plane may be banked a spiral dive may result but that should be easy to fix...
And that's exactly why we're banging on about using the recovery procedure from the POH. It's not so much that the generic PARE technique will not stop the spin, but it's the ensuing dive (spiral or not) and its recovery that may exceed the planes limitations if you happen to break the spin improperly.
I can well imagine that there are aircraft types that really require you to stop the yaw *before* you break the stall, otherwise you end up in a spiral dive which exceeds the aircrafts limitations. By stopping the yaw *before* you break the stall, all you will probably get into is a straight dive. Which is easier to recover from, within the planes limitations, than a spiral dive.