Overweight is descriptive of people that are over the healthy weight/fat in body range. It is proven that being over the healthy range has increased risks of having health complications.
I am overweight. If you have over 25% of fat in body, you are overweight. If you have over 30, you are obese. I am obese right now. Working on it.
If you want to load stigma into terms you do you, but I am not.