Gary in Sandy Eggo... when you see something that virtually unintelligble, look below the writer's comments to find the real reason for the entry... a "free advertising" link! Just worthless unrelated gobbledeygook, like kevinedenmarg and his crab problem. Geez.
Seriously, re. the engine hesitation in our Azzy, like yours, it's still there, but the hesitation now seems to be of shorter duration than when car was new, ie. 250mS vs. 1 or 2 seconds. The dealer's service guys repeatedly gave me the same basic verbiage: "It's operating just fine.", and "They all do that." Maybe they were half right, if all the Azeras have the hesitation.(?) However, 'operating just fine'... NO WAY.
OTOH it's probably nothing we can't live with at this point. It doesn't seem to be as much of a problem in passing situations if the trans has been downshifted manually (raising the engine RPMs), before mashing the accelerator pedal. Of course, neither the trans shifting nor the engine acceleration should have any hesitation, given all the electronic inputs & controls these cars have; the ECM might be relying too much on the O[size=small]2[/size] [size=medium]sensor's signals for appropriate injector pulse width determination. That could create some additional delay, but anyway, the problem's resolution seems to be beyond the scope of a Hyundai dealer, given the lack of willingness to even admit that there is a problem. Makes me appreciate some of my other vehicles even more! (In addition, my wife takes a much more 'conservative' approach to driving than I do; the Azera is her D/D!)