You can also move the first image, select all images except the first one and hit enter.
If you hit enter on the first image already moved, it will move again the first image.
"Enter" always re apply the latest you did with the current tool : a shape, a movement, a cut etc...
it is a not intuitive method, but works!
Well, a windows asking "do you want to move all the other images from your current layer ?" is disturbing for someone who just wanted to move one single frame