Your situation reflects changes described here: Bank reconciliation gets unclear - #3 by lubos.
Be sure to read the rest of that thread. Your observation of View buttons disappearing is consistent with the post linked to above. But @lubos seemed to say in post #6 of that thread that my observation of View buttons remaining was intentional. Therefore, I believed he had made a subsequent change.
So first, make sure you have the latest update (they have been released recently on a furious pace). Then see if the behavior persists. If the problem remains, try deleting and recreating those old reconciliation statements. (Reconciliation statements are not actually saved. Only their parameters are saved. The statements themselves are created fresh every time you view them.) You may have to reconcile old statements you want to keep. (It wasn’t clear what you meant by “discrepancies were later accounted for.”)