What happens if the Pkunk aren't "absorbed" by the Yehat?

Solution 1:

The Pkunk-Yehat conflict can end in two ways. If the Captain presents the Yehat a living Shofixti, the Yehat Rebellion will break out and the Pkunk will be absorbed, seemingly vanishing, only to return in the last moment as an integral part of their combined civilizations.

If the Captain fails to do so, the Pkunk are eradicated by the Yehat.

Sources: 1, 2