It's maybe related to VR, but if you google for D800 or D810 and sharpness / blurry there are a lot of articles. I understood that this is because of the high resolution on a small chip....
I think you are perhaps misunderstanding the cause of 'blurry' here. There are two 'issues'.
1. In one (and only one) case I know of, the 300f4 PF lens had an issue at specific (around 1/125th) shutter speeds where VR was clearly less effective than other shutter speeds. There was even a firmware fix for this (I think on the lens). Not having that lens I never looked into it much.
2. most cases referenced involve too-slow shutter speeds. Contrary to popular theory, 1/focal length of lens as minimum OK shutter speed is NOT sufficient. Over and over I have found the need for faster shutter speeds than 1/focal length. Perhaps due to my age (63), but I hold big cameras pretty stably. It is the high resolution that is showing you in great detail when you have small flaws in your shooting discipline. Put on a 50mm lens, and I find I need at least 1/100th to get consistent sharp images.
This is NOT due to high resolution on a small chip - it's actually just high resolution.
That's without VR. With VR it is so hard to test that you can't reliably predict how slow you can shoot. But one thing is for sure - it's a lot harder to hold a camera steady underwater than above, and VR helps a lot. You still need high enough shutter speeds to freeze motion though, but slow enough to work with flash sync (1/250th or so with D8xx). I generally shoot in manual mode underwater, setting shutter speed at 1/160th. (Fast enough to generally freeze subjects, but within flash sync speed. Also I like to have some ambient for certain shots, and 1/.160th is often slow enough for that near the surface. Shooting at 1/100 was giving me a lot of blur in any moving subject.
When I am shooting macro, and I'm stopping down to F36 at times, ALL of my light will be from the flash, and it's really the flash duration (probably 1/2000th) that is freezing motion, regardless of shutter speed.