The problem with this is that if someone changes a transaction that was in a previous reconciliation, that previously reconciled account is no longer in balance. You may be able to unreconcile a single transaction easily, but you cannot re-reconcile that transaction without undoing and re-doing the reconciliation. 

It is necessary for the one that reconciles the accounts to have the ability to also un-reconcile the accounts.

QuickBooks needs to change this. I have been able to work around this by setting myself up as the company accountant, but that is a pain as well because I have to log out and back in if the account needs to be unreconciled.