People use the term "offer" loosely. UT does not. When UT actually presents an offer, it's formal. The coach has been vetted, and legal and finance have approved terms, which are specific. Talking with a candidate and throwing around scenarios and numbers isn't an offer. Some guys the media is saying "turned down" UT weren't interested and made that known, either upfront through their reps or in preliminary talks. They weren't offered.
UT doesn't paper an offer it doesn't think will be accepted. But a lot of guys can pass before it ever gets to that point.