SMS text messages "not delivered"
I did search prior discussions and didn't see much on this exact issue. My wife's iPhone 6 (9.3.1) cannot send (or apparently receive) SMS text messages. iMessages work fine. I have confirmed that SMS messaging is turned on in the settings of course. She took it to the AT&T store and they tried changing the SIM card, but that didn't help at all (and for some reason just about completely reset the phone settings). They suggested that it could be a hardware issue..? Is there a separate SMS radio chip or the like? Any ideas as to anything else we can try or check? Thanks.
iPhone 6, iOS 9.3.1, null