IMO this is still not a WEB...
As I understand it, online bill pay whether accessed by mobile device or otherwise is not a WEB because your customer (who would have to be the receiver in a WEB transaction) is initiating the transaction directly from their own account (which would in theory make them an originator of an ACH Credit, which by definition is also not a WEB) same as if they wrote a check...
If however your customer authorized the payment to say Chase... on Chase's website and not the bank's it would be a WEB origination... because then Chase would use this authorization to send an ACH Debit to your bank to withdraw the funds...
Cheers!
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In life, there is a lot less that could get better and a lot more that could get worse.
MBA Fin/MBS HR
My views only!