"Wouldn't the treble hooks, the ones with three points have a better chance of catching something?"

The answer is a definite yes, no, or that depends.

There are more small fish than there are large fish. At least where I am (Southeastern US) it is easier to catch small pan fish (fish smaller than your hand) with simple tackle and live bait. A small single hook will work on a wider range of fish sizes. Unless you have a tiny treble, small fish cannot get it into their mouths.

When I fish for catfish in ponds where most of the fish are 1-3 pounds, I use a #6 treble. The main reason I use a treble is because I use dough bait and the bait forms a ball and sticks better on a treble. When I use chicken liver for bait, I use a #2 single hook.
I really cannot say that I hang more with the treble than with the single hook.

Artificial baits (crank baits) are a little different from live bait. With live bait the fish is trying to eat it, making it a little easier for the hook to be inside the mouth. With a crank bait the fish is hitting a moving target and is more likely to spit it out. One or more trebles makes it more likely that you will snag something when the fish makes the strike.

Answer depends on the size of your hook, the size of the fish, type of bait ....

I have very little experience with salt water fishing. That said, I would rather have 3 assorted size single hooks than one treble. Of course, I keep both in the tackle box.

Murphy's Law of Fishing: If you have only one hook, you will loose it on the first cast. <img src="/images/graemlins/wink.gif" alt="" />