"The body loses its fat deposits at roughly the same rate all over the body"

Can you support that statement? I doubt it. Of course using the term "roughly" can mean just about anything.

Actually, a complex set of homones and enzymes determine whether fat is "mobilized" or contiunes to be stored in a given area during a caloric deficit.

Your statement's simplification regarding adipose tissues' mobilization and caloric-deficit driven lipid transport is just too inaccurate to be ignored.