I try and not move containers around. I started out my public scripting career with people bitching about me moving their containers/gumps around, so never again. Just make sure the text is visible.
Side note: It never does move it around for me; so there might be script interactions or you are doing somethings else like surfing on the computer at the same time. Clicks in EUO can be deadly if you are clicking on the screen at nearly the same time as the script is trying to click. This is the single biggest reason you should be using a virtual machine.