The reason that golf appeals to more people than pool is because MORE PEOPLE GOLF THAN PLAY POOL. Let's look at a revenue model, and then figure out where sponsors will spend their money.
POOL - requires a cue. That's it. The room provides the balls, and the table. So, at the least, a person wanting to play pool will have to buy a cue. As you get better, you may buy a cue, then ANOTHER cue, and then ANOTHER cue. However, you really aren't going to produce a lot of income for the sponsors.
GOLF - requires clubs. Not one, but 14. Putters cost serious dough. You also need to buy balls. Balls will degrade over a round, so even if you do not lose a ball, you will need to reload after a round or two. Then there's wardrobe. Golfers buy clothes. When this season's colours are "out", they buy new clothing. You need a bag to hold your clubs. I have a cart bag and a stand bag.
Average revenue for someone selling pool related goods - $200. Sure, there are snobs amongst the masses, but the average player will have a $200 cue/case investment.
Average revenue for someone selling golf equipment - $1000k+. Top drivers go for $300-$500 each. Putters - $200. Good balls - $40/dozen.
So, who has the money to sponsor events, and shell out big money? Predator cues, whose yearly profits wouldn't top $2M, or Taylor Made, who most likely sells $2M in golf balls per month, worldwide?
I play both games (better at pool than golf), and if you were to broadcast the World 9-ball Championships at the same time as the final round of The Masters was on, I'd be watching The Masters. Being honest, watching pool on TV, for the average sports fan, is like watching paint dry. It's only interesting if you actually like pool. My wife has never golfed in her life, but she'll sit down and watch golf on Sundays with me.