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?
Based on theoriginal question:

Householder,

Aside that craving (tanha), lit. thirst, does not really differ in meaning to desire, will, cetana..., it is not necessary unskilfull, but required all along the path => refined becoming (bhava), and becoming, caused by tanha, is also the prerequisite for being able to develop the path:


  "Fabrications have ignorance as their prerequisite, consciousness has fabrications as its prerequisite, name-&amp;-form has consciousness as their prerequisite, the six sense media have name-&amp;-form as their prerequisite, contact has the six sense media as its prerequisite, feeling has contact as its prerequisite, craving has feeling as its prerequisite, clinging has craving as its prerequisite, becoming has clinging as its prerequisite, birth has becoming as its prerequisite, stress &amp; suffering have birth as their prerequisite, conviction has stress &amp; suffering as its prerequisite, joy has conviction as its prerequisite, rapture has joy as its prerequisite, serenity has rapture as its prerequisite, pleasure has serenity as its prerequisite, concentration has pleasure as its prerequisite, knowledge &amp; vision of things as they actually are present has concentration as its prerequisite, disenchantment has knowledge &amp; vision of things as they actually are present as its prerequisite, dispassion has disenchantment as its prerequisite, release has dispassion as its prerequisite, knowledge of ending has release as its prerequisite." (Prerequisites)


For whom?


  the ending of the effluents is for one who knows &amp; sees, I tell you, not for one who does not know &amp; does not see. For one who knows what &amp; sees what is there the ending of effluents? Prerequisites


One may look out for "The Four Right Exertions",  in The Wings to Awakening


  Perhaps the most surprising element in right exertion is the role played by desire, which is usually associated with the craving that acts as a cause of suffering. We will treat this topic in more detail under the bases for success [II/D], and simply note here that the Buddha recognized that desire can be either skillful or unskillful, and that he freely admitted that skillful desire is a necessary factor in the path to the end of suffering and stress...


Whats the problem with the use of the word craving, tanha?

The Buddha used this world, for the most, as craving after the world, the six senses: 


  And what is craving? These six are classes of craving: craving for forms, craving for sounds, craving for smells, craving for tastes, craving for tactile sensations, craving for ideas. This is called craving.


Now think, better look with proper attention, of what you are actually g/crave for?

So when ever reading tanha, keep in mind that it is not thirst per-se, but desires in the world that distracts one from developing thirst after beyond.

(Note that this gift of Dhamma is not dedicated for trade, exchange, stacks or entertainment but as a means to make merits toward release from this wheel)