That's a good question, Wesley.
The answer is a qualified 'yes', qualified only because were the sauce especially thick and the time in the sauce especially short one wouldn't expect much difference in the interior sections of the meat.
Braising in the sauce, thinned a bit and for some time, can allow the sauce flavors to more fully permeate the flesh (it can also alter the finished texture somewhat, making the flesh softer). Whether that is 'better' would depend on personal preference, of course, but mostly what one was comparing it to. For instance, were the chicken simply grilled or smoked, basted on the skin side and served, the interior flavor might well be lacking. (I fault numerous commercial joints for this very thing. Rubbery skin, sauce painted on skin side only, the skin rarely cuts well and comes off in one piece, and the meat is non-descript, maybe with some smoke flavor (or not) but not much else.
However, were the chicken pieces marinated, flavor-brined or straight-brined first, and were the sauce applied on both sides, soon and/or often enough for it to tighten, then the result, flavor-wise, would be more similar to the approach this recipe takes, especially if the skin were cooked/crisped before serving.
An advantage to the smoke/braise/grill (either indirect to cook the skin well or direct to crisp it) is that it allows for leeway--important for many in comps, but also, frequently, important for the home cook who is often juggling multiple issues as well.
The braise phase, if the temps are kept low so the sauce is at no more than a simmer, can be milked and extended allowing for more time should one need it. When the chicken is actually done the chicken can be finished in just a few minute on the grill and served, or it can be finished on the grill and returned to the pan (or to a chafer). Though holding for some time will lessen skin crispness, the skin will still be cooked through and should retain good overall texture even if not crisp.