they want the customers to use our OLB
I can't image how or why we would want to contractually limit the source of an ACH, nor how or why we would try to devote valuable human resource time to policing this requirement. Besides that, NACHA rule 3.1.1 require that we accept all ACH transactions that comply with the NACHA rules.
I also find it curious that this is coming from the risk department. The bank has far greater risk of fraud losses acting as an ODFI than it does as an RDFI. If I use your online banking account to debit funds at another bank to fund my account with you, the rightful account owner whom I stole money from at another bank has 60 days from that transaction to come screaming back at you as unauthorized. In the meantime, I am long gone with you bank's money.
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Sola Gratia, Sola Fides, Sola Scriptura, Solus Christus, Soli Deo Gloria!
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