The current pledge payment application process in webview batches will need to be altered before database view is sunsetted. From the knowledgebase article on pledges the current process follows:

Note: In web view, the gift amount must equal the balance of the pledge it’s applied to. To apply a payment with fee coverage to a pledge, approve the gift as a one-time gift. In database view, manually apply the gift and fee coverage amount to the pledge installment.

Assuming, in many cases, that the pledge is a single installment and the fee coverage would need to be handled another way. A solution would be either to allow the pledge to be altered/updated in-batch to match the full gift amount or prompt that the fee coverage becomes an additional cash gift as happens in database view.