Don't student spin accidents usually involve screwing up the turn from base to final? So it hardly matters what sort of spin it is, or which recovery method works, as there isn't the height to recover?
Spin accidents take many forms; the base-to-final turn is only one example. However, although a fully developed spin from circuit height is irrecoverable, a pilot trained in and familiar with the feel of the aeroplane as it departs probably won't allow the aeroplane to spin as it'll be ingrained second nature for hands and feet to reduce the AoA and remove any yaw before a spin develops.
A pilot without that grounding in spins and spin recovery will probably miss the subtle clues the aeroplane gives before departure, and may not even know something's wrong until the nose starts to drop. At that point, still not understanding what's happening, they may well instinctively pull back.
Incipient spin training simply doesn't cut it. To be sensitised to those subtle pre-departure clues and to have the automatic reactions to them to unload the wing and remove any yaw without having to think about it (there won't be time!), requires that the pilot be in regular full spin and recovery practice, and/or current in aeros where critical AoA is sometimes exceeded.