Currently in the Statement Posting batch job the tasks are in a sequential manner and if one leg is not complete the task does not move to the next stage. So if there in an inventory error in statement, the sales order posting is stuck and due to that the payment posting cannot take place since it is in the later steps.

Thus MS should think of an option to have 3 batch jobs instead of 1 in which

1. Batch Job 1 will only process the Sales Order & Inventory
2. Batch Job 2 will only process the Payment
3. Batch Job 3 will Link and settle the Payment & the Sales Invoice