Well I can tell you having doing user interviews about precisely this topic for our teams that users really don't care about device specific controls and we've found that it's really devs that care a lot about it, and even then it's been specifically Apple users. Windows or Linux users didn't care as much, although Linux users cared a bit more than Windows users. Most of our interviewees said they either don't care or prefer unified controls per app.
No, we never asked them about our own application specifically, it was about what they preferred generally across all of their devices. So, no flaws here. You may just be projecting your own bias for OS specific controls onto the general populace.
I highly doubt your research was so perfect, since it seems it wasn't even peer reviewed and published, so that conveniently nobody can point out methodology flaws.
I never said it was some peer reviewed study, just that we did it for our team to figure out how to lay out the UX, that doesn't mean it's not statistically and methodologically valid. It seems you are also trying to project your biases on top of my comment so as to question any sort of research that we conducted.
