Yes, that's what the legal language here says.
But when your second publisher is forced to shut down due to a potentially life-changing lawsuit from the first publisher - in part because of content that you have transferred from point A to point B - you are not free to do whatever you want with your content. Your second publisher is restricted from publishing your content. So you actually are giving up full control, unless the first publisher makes a commitment to respecting your rights as a contributor.
This is an interesting point. Can someone answer?
