I would approximate the side-to-side movement of the left rotor to be approximately .2mm. I do not feel pulsing in the brake.
I change my
tires with a Cycle Hill changer and MoJo lever. Yesterday, I was having a lot of trouble balancing the front tire and put it back on the Cycle Hill several times in order to turn the tire on the wheel. I don't remember hitting the rotor against anything but the left side rotor does have some visual side-to-side movement while the right side rotor does not.
I'm just going to replace the rotor and I'm going to open the brake reservoir, tie the lever to the grip and see if an air bubble will come out of the lines because I know that the bike will not build pressure with air in the lines but I also know that if there was air in the lines, the lever will be soft whether I'm moving or not.