When people are really smelly, it's usually more about not showering and or not wearing clean clothes.
Deodorant is only applied to your armpits.
For most people's armpits to smell so much that it is noticed by others at a distance, it requires a lot of sweat (more than you get working at a desk) and time.
If I don't wear deodorant and at the end of the workday I lifted my arm and you stuck your face in it and smelled it, you'd smell BO, but if I'm behaving normally and we're giving each other normal personal space, you wouldn't smell me.