If they apply, Reg B rules require that you deny it with an AAN, FCRA may apply, unless it is a product you're not offering. This sounds like a plan you offer, just not to the military.
Why are they not eligible?
1002.2(c)((2) The term (AAN) does not include: A refusal to extend credit because the creditor does not offer the type of credit or credit plan requested.
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AndyZ CRCM
My opinions are not necessarily my employers.
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Rules and Regs minus Relationships equals Resentment and Rebellion. John Maxwell