Um, I know for a fact you couldn't move the team and still keep their logo/uniform in last gen. You couldn't do it at all on Xbox and could only do it on PS2 if you used the disc eject method.
yes you could u just choose not to edit ur teams uniforms and skip that whole part cause i did it many times and kept everything the same except the city and the stadium and did not know a think about this disc eject method.