I can't say whether it has any bearing or not, but one thing that certainly was a factor in the minds of monarchs when it came to the Reformation was the opportunity to make a quick buck...or rather, a quick million pounds. The Church was extremely well-endowed with land and money. It may not be ethical, but a lot of rulers were swayed by the chance to raise easy money - I believe that I recall that Henry VIII made something like £800,000 from Church land sales.
Wolsey had already done some dissolutions of monasteries before the divorce became an issue, so the precedent was there. And Henry does not have to formally break with Rome to cash in on church property, or for that matter to exercise a 'Gallican' sort of authority over the church. The papacy would be in a bind - can it afford to drive a theologically orthodox king into the Protestant camp just because he's being high handed?