My biggest issues with a non-hybrid stop-start are:
They generally use a bigger higher spec battery. In some cases, like the 2015 F150, that battery costs about $60 more than the regular one. And it isn't likely to last any longer. The reason they do that is so it lasts as long as the standard one, or at least you hope it does. It is doubtful that cost alone will be recouped with the tiny amount of fuel savings, probably not even a calculable amount.
They may up the rated duty cycle of the starter, but it isn't *that* much higher. Hyundai/Kia says 20%. Yet on a normal drive, the starter could be called upon up to 1000% more often than without stop start (10 times). That EASILY will eclipse any added duty cycle rating.
And the flywheel is no different.
When starter motors fail, they fail to crank the engine. When/where do you need to crank the engine? When/wherever it goes to leave from wherever it was PARKED last. If the starter dies, at least the car is stopped, and parked. Your driveway, the grocery store lot, wherever. With start-stop, it could just as easily die in the middle of an intersection (we've already started seeing these).
They are also painfully annoying when you go to actually leave from a stop. I've had to deal with them before. A second goes by before the electronics think "OK, foot is off the brake, foot is on the gas... OH CRAP, START THE ENGINE...." meanwhile the guy next to me is already a car length ahead and the guy behind me is wondering what the deuce I am doing.
I have experiences these on Fords, GMs, a Volvo, and a Volkswagen... and they are all equally awful and annoying. Some you can disable, some I am not sure how. But just like DRLs, there will be a website I am sure set up soon with all the info on how to disable this.