I say none.
zoan awakening takes away much of you sapience from what we have seen.
this does not seem beneficial at all.
alternatively, I think this is actually a reason why Jack should have it
In the entire battle on zou, we didn't even see a hint that jack used hybrid form. The reason why he didn't use hybrid form is because if he did, his awakening would have made it to where he would have essentially lost his mind.
Its also the same reason why Marco didn't show an actual hybrid form(which should have looked similar to pell's hybrid) and only did that weird partial transformation stuff.
zoan awakening makes hybrid form extremely overpowered but takes away the user's mental capacity. Hence, most awakened zoans mainly fight in full zoan, human form, or use partial transformation and don't use hybrid unless pushed to a corner. This might seem like a nerf but I feel like the increase in strength that hybrid form gets makes it worth it. Also, I think that the partial transformations of awakened zoans are on par with the hybrid forms of unawakened zoans.