Could unwholesome craving cause the wholesome desire for enlightenment?

From this question , we see answers stating that one has the wholesome desire for enlightenment, and not craving for enlightenment. In this question , we read about the difference between desire (*chanda*) and craving (*tanha*). There are 3 types of craving - sensual craving (*kama tanha*), craving for becoming (*bhava tanha*) and craving for non-becoming (*vibhava tanha*) according to Iti 58 . Why would one have the desire for enlightenment? Or the desire to end suffering? If the desire for enlightenment comes from aversion towards suffering, then isn't it due to a craving for non-becoming (*vibhava tanha*)? If the desire for enlightenment comes from wanting to become someone as revered as the Buddha or other Arahants, then isn't it due to a craving for becoming (*bhava tanha*)? Could unwholesome craving cause the wholesome desire for enlightenment?