Missed the second part. The article doesn't address it, but from my knowledge flavoring shouldn't affect the hydration unless the flavor includes other components like sugar/acid/salts/caffeine/etc.
[1]: https://www.cnn.com/2018/07/19/health/sparkling-water-hydrat...
Sparkling water seems to be inoffensive. However, if you're going to add sugary flavor to it, remember that you need to add a lot of sugar to CO2-infused water to be able to taste it (that's why sodas have so much sugar but don't taste like it). Be careful with sugar and sparkling water.
But that’s something an oncologist would tell you to worry about, not the nephrologist ;)
"Natural flavors" are essentially adding sugar and a couple chemicals to the water. You can think of it as being effectively the same as drinking an equivalent amount of H2O and taking a tablet that contained all of the "natural flavors". No real difference in hydration, but taking in a bunch of sugar after a workout is generally frowned upon. Go get some protein instead.
Side-note: sugar after a workout is the best time for sugar. You want to replenish muscle-glycogen as soon as possible and sugar is a fast track to that. Obviously you should opt for fruit over a Gatorade or sweets though.
If on the other hand, your exercise is strenuous, and depletes your bloodstream's glucose, and your liver's short-term supply of glucose, then you absolutely need sugar. Otherwise, your body will efficiently convert whatever is at hand to sugar. The most "at hand" ingredient from your body's point of view, is your lean muscle mass. You don't want to lose that. However if you have these kind of exercise sessions, then you already know this, so keep on doing what you're doing.
While you're training someone(or yourself) for any type of endurance event(eg triathlon), it's not uncommon to toss them a sugary(decaffeinated!) soda or juice. You're goal is to make sure they never exhaust that available supply of glucose until the event is complete. If they do, along with cannibalizing their muscle mass, they're going to have short-term discomfort(cramps, mental fogginess).