I am sure there are plenty of smaller banks that would love their business.
Blame the money launderers.
There are numerous regulations banks must follow regarding commercial enterprises and consumer customers. For example, the documentation requirements are high for PEPs (politically exposed persons) like Mr. Brownback and, for some not-for-profit entities, similar heightened standards apply.
This is all a result of banks being used by bad guys to, among other things, launder money. In response to that practice, banks are required to ask certain customers for a pile of documentation. Parenthetically, The Patriot Act underpins a lot of these regulations, and - surprise - Sen Brownback voted in favor of that.
Is Chase really against this NFP? I don't know. Perhaps Chase's risk appetite for PEPs is lower than that embodied in this entity. But if someone did their homework first and evinced an understanding of banking regulation - especially someone who voted for some of this stuff - they'd have more credibility.