Sorry to contradict you, but it will.
I had stubborn fats around my chest, that didn't go until i virtually had a six pack and was at round 10% bf. I lost four stone to do it..... that's when I realised it wasn't just fat (as the hard lump was visible and moobs looked worse) so I bulked up a stone and booked surgery for gland to be removed.
If your body needs more calories that its getting you will eat yourself. The body struggles to break down the fats into glycogen if they are low in beta receptors (I think that's what they are called, it's been a while since I've read such publications articles) and/or oestrogen (which encourages fat retention), these are the area's which you have stubborn fats, in your case- chest. The area's high in beta receptors/oestrogen will reduce at a much higher rate that those without, which is why people think they will never go. But once the body gets it a certain bf it will have no choice but to begin to eat the fat in these area's. The fat in these area's will be a lot tougher to get rid of, but if you stick at it they will go.
There are things you get rid of these fats more easily e.g. avoid alchohol (raises oestrogen), dont drink water from the tap (been linked to the beta receptor thing). Also when you go to the gym, which you will need to do, use as many heavy compound lifts as possible (these are lifts that use multiple muscles simultaneously) because they raise natural testosterone levels (which is oestrogens kryptonite!)
I could go on indefinitely about this, but I would recommend reading body building literature. IMO, they know better than anyone on nutrition and body sculpting.
If your still not convinced, then perhaps you can post a photo. I can assure you that you are an anomoly if your right.
Hopefully I've helped!
Once you get there, it's