I’m not sure if it’s the same problem, but when I pressed Shift, my objects were still snapping to every 5 units, even though I had “move” unticked in the Model tab. I thought that might be the problem, because the value I had in there was 5. So what I had to do to fix this problem, was setting that value to something like 0.0001, and then untick it again since it turns itself on when changing the value.
Shift now disables snapping as intended!