Not that Patrick doesn't seem motivated but from the supposed contract info I found on Hilltop\Hoyatalk there is almost no incentive for him to do well during the regular season whereas Hurley, for example, has a lot of cash bonuses tied up in season performance. Most of PE's would come from a BE championship and NCAA runs.
He's also getting paid an extremely high salary considering his lack of HC\CBB exp, it's about $3mil and change annually (they say he made mid 6 figures as an AC in the NBA so this is a huge jump salary-wise). Seems strange as the fans say GT doesn't care at all about the program but the school has dumped a pretty large sum into it over the last few years - Ewing's earnings alone will be over $18mil. If you are going to pump this kind of cash into the system you'd hope you would support it too.
Clearly GT is an academics school but IMO having at least one good sporting team is big boon as it will help attract alumni to events, and alumni is where your money is at.