Zero amount payments should never have to be created: if the imported inventory adjustment has a zero-value, the payment will need to be zero, but there will be a remaining balance of zero anyway, so there's no payment required to close out the balance.
When there's a non-zero balance in the inventory adjustment, there will need to be some kind of "payment" transaction generated anyway, so creating a zero-value one doesn't help.
Conclusion: no need for zero-vale payments
delaying until after existing inventory import is merged in (post 1.4.0)
It doesn't look like we automatically add any payments. Will need more info before finding that there is a bug here.