I'm not concerned about the oversaturation issue. That can be easily addressed in Photoshop/Lightroom. My big complaint with HDR--and, moreover, the 13's forced HDR--is the flattening of the tonality. Sure it's great, in general, that your highlights and shadows contain more detail to work with, but a lot times that is not needed and THAT's when I'd like to be able to turn off HDR.
Case in point: I took a picture of someone in a wide, open air situation with the sun setting to one side but diffused by some thin clouds on the horizon. On the subject's other side was wide open water so there was little secondary light filling in that side of them. You would expect the subject to have a well-lit side and a darkish opposite side. But thanks to HDR their sun-side was knocked back--to the point of flattening the person's features--and the darker side being goosed-up so it was very nearly the same value as the sun side. And as someone who has been working with Photoshop since its v1.0.7 I can tell you that is not satisfactorily correctable.
I'd increasingly cut back on lugging around my DSLR as phone cameras improved so I was very excited about the buzz around the 13. But this HDR situation has me shooting less with it, not more. So disappointing, to say the least.