Might I ask that you refrain from using the word "grossly" as a modifier for "obese"? Do you have any idea how hurtful that is? Can you imagine the reaction if someone was described as "frighteningly black" or "creepily Jewish"?
Your use of "grossly" leads me to wonder whether there's more than just the pilfered space that's problematic: sometimes I think people just don't want to be near fat people as a matter of aesthetic principle.