I can do either.
When I do jabs to the body is usually haver I have countered their jab. Even if I'm going to be offensive with it, I want to trigger their jab so I can move their lead hand across their body, or so I can pull the punch so they are caught in a position where they get pulled off balance. It's a done deal if they go off balance, but if I can delate the return of the hand that I'm moving then I still have a good chance to land a hard shot to the body.
If I do a body shot to the body without the parry then it's probably a lie. (hence the reason I got called Pearl harbor), Me doing a body shot without the parry, it's an attack that I'm using to misdirect.
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You can see Tyson do this same type of drop (without the pucnh) in the video that I posted of him. It's a TMA drop. Notice the sance doesn't widen.