There's one problem that I thought about, as you've probably heard the shortest distance between two points is a straight line. You might have also heard that a straight punch will land before a curved punch because it has less space to travel. This is just something that I'd want to keep in mind if I am to use curved jabs. Also make sure that you bring your hand back in quick straight back to its guarding position. Do not bring it back in a semi-circle as it would be that much easier for your opponent to take advantage of.
There's a hook that you can sneak in if your opponent is keeping his right glove in front aiming to catch or parry your jabs. I've heard it called a corkscrew hook, which is similar to a regular hook in it's initiation, but your fist would snap forward like a curved jab. To understand why it's been coined the corkskrew hook try this, extend your left arm forward and rotate your arm as if you were making a thumbs down sign. Look at your elbow and your arm's tendency to curve as opposed to having your elbow pointing down.
Now let's say that after you've landed a few jabs your opponent brings their right hand into position to block and parry your regular jab, now instead of throwing a curved jab you take a small step forward start to move your body like you're throwing a left hook, then at the last possible moment as you would with a regular hook you bring your elbow up, then extend your arm while rotate your arm clockwise to get around your opponent's right arm and nail them hard in the jaw. ;D
Now if you can train this punch to flash in without warning your opponent will discouraged to throw their right cross, and you'll have another weapon in your bag of tricks. This can be added to jabbing at their right glove as Scrap has said a few times before, jabbing at their glove can break up their rhythem and tamper with their biomechanices.
Anyways getting back to curved jabs it can obviously travel along a curved path, but I think in order to get more leverage in the shot the arm would have to be straight at the moment of impact. This way if you want you can either throw a power jab to try to get your opponent to make your opponent counter, or you can just snap it out quick to create openings. There's a lot to think about. I remember watching Sam Soliman last night and saw that he'd miss a punch only to immediately throw another punch that lands. Now if you'd like to be sneaky you can make your opponent think you missed with a regular jab that's apparenty off target, then at the last moment you curve your hand around their guard and catch them unexpected. As your opponent reacts to your punch landing you should be prepared for their reactions and the openings that come with it.
It's just some stuff to think about.