You can test this behavior with a simple setup. Put 2 sprites on the screen. Make sure they are on exact pixel positions (even numbers). Move them both quite slowly in the same direction. Make it so slow that it "jumps" 1 pixel per second or so.
If they both have the same starting position (regarding the direction of movement), both will "jump" 1 pixel at the same time.
Now change the starting position of the second sprite. Move it 0.25 pixel in the direction of the movement. Now the second one will "jump" first, then the other - and so on.
Camera smoothing results in a very slow relative movement when the camera comes slowly to a halt. The whole pixel jumping becomes very visible. It looks at least a little more smooth if everything jumps at the same time.
It helps to activate "pixel snap" from the menu of the 2D editor.