Personally, I prefer that my revolvers don't have this "hitch" and put in a good bit of time with my 620 to eliminate it. In my case that meant stoning 2 drive pawls on the extractor and shimming the trigger by 0.0015 inch to resolve an issue with the trigger dragging on the frame.
IMO staging a DA trigger is a bad habit and something to be avoided. As for why, it's not how you would used the gun for defense and I believe that you should train as you would use the gun for Defense.
Yes, it does take more time to master a complete trigger stroke, however the benefit to training to use a complete trigger stroke is that your ability won't just improve with double action shooting, that improved ability to release a long heavy trigger accurately will also improve your ability with single action or striker fired semi's. About the only negative is that it can lead to a tendancy to "slap" the trigger on a single action semi, however paying attention and training with these different types of triggers can keep that tendancy in check.
I'll also note that the S&W manual SPECIFICALLY recomends that the trigger NOT be staged in double action shooting. As for why, by design these revolvers rely for a light extent on the inertia of the cylinder turning to carry it into full lock. With many S&W's if you pull the trigger very very slowly, or thumb cock it very very slowly, you will find one, or more than one, position where the hammer will fall BEFORE the cylinder stop clicks into it's notch. By design the S&W locking mechanism is just a bit loose and this was done to insure that the gun will function properly even it it's gummed up with old oil or hasn't ever been cleaned. If you stage a trigger too slowly and the gun fires without that cylinder stop in it's notch, it's not really a safety issue, however as the bullet strikes the forcing cone it will cause the cylinder to rotate and SLAM into the cylinder stop. That's not good for the gun and making shooting this way a habit will lead to peening of the window for the cylinder stop, peening of the cylinder stop itself, and peening of the cylinder stop notches in the cylinder.
As for the cause for this "hitch", it can be due to multiple effects but in most cases can be generalized by just saying the gun is a bit "tight". This means that as the gun wears that "hitch" will slowly disappear.