Again, TV market IS and will be the most significant factor in who gets invited where, when all the political factors are resolved. For anyone that doesn't recognize that, why do you think the B10 took in Rutgers and Maryland all that not so long ago? Because of the storied histories of their sports programs?
Nope... it was because they are both in HUGE media markets. If the B10 were actually interested in something as economically trivial as a hoops program with "tradition," the alternatives would have been Syracuse and Kansas.
Now I'm not saying ASU is going to end up in the B10. But they will end up somewhere as or more significant than UA and it's 50th ranked market, if/when they so choose... hoops or not.