I believe the shutter on your camera operates according to its design. The Wikipedia article on focal plane shutters has a good explanation:
https://en.wikipedia.org/wiki/Focal-plane_shutter
You are correct that above a certain speed (typically the X-sync speed), that the full frame is never fully exposed. That being said, the shutter opening is
always a moving slit. This has implications, but motion blur is not one of them
per se. The most common is stretching or compression of moving objects according to their direction relative to the curtain direction of travel. Stretching may be accompanied by blur in the stretched portions. Mixed motion (up/down/with/against) may turn circles into ovals, and so forth.
Example 1: The van in the photo below was moving (and slowing) in the direction of the shutter travel. The back of the van is stretched and lacks sharpness as a result. A faster shutter speed (narrower slit) may have remedied much of the stretching and associated blur. If the van had been traveling the other direction, it would appear less long than it really is, but sharper. Panning would have introduced additional interesting permutations. I believe the shutter speed was about 1/125s
Zorki 4K, KMZ Jupiter-8 58/2, Fuji Acros 100 Example 2: The wheel on the unicycle is actually round, but the shutter motion has rendered it to a slanted oval. Note that the rider is not blurred and neither are the spokes

The unicyclist was traveling against the direction of curtain travel. I believe the shutter speed was probably 1/250s.
Pentax SV, ST 28/3.5, Ektar 100
So the short answer is that depending on the direction of camera and/or subject motion the rendering may not be true to the subject's actual shape and motion may not be stopped as expected.
Steve