Hazeltine's change is a no-brainer and has nothing to do with TV. It has everything to do with tents.
The left side of the original 7th hole is perfect for tents with a great view of the hole, while leaving plenty of room for spectators who are not in the tents. Having those tents at the 16th allows the premium customer to have a spot at a prime dramatic moment in many matches. I cannot imagine how much additional revenue came in due to this change but I suspect it was many, many millions.
I also think the change will improve the drama of the matches as they are coming to the close. Ryder Cup holes 15-17 are the best stretch of holes on the course. There should be a lot of birdies, a few eagles and a few meltdowns.
By contrast, the original holes 15-17 were relatively bland - a straight par 5 with a bunch of bunkers (15, now 6), an iron off the tee and a pitch to the green (16 now 7) and a medium length par 3 where the primary interest comes from a nasty green.