You do realize we are saying the same thing but using different terminology? We are arguing semantics, you are merely adding the ability to swim up your rig to the criteria for being "properly weighted". I consider it a separate but equally important issue.
Perhaps we should focus on this then. How is it a "separate but equally important issue?"
It's Archimedes Principle; if you don't have the buoyancy, you have too much weight. If you can't swim up, you're overweighted.