It's hard to say "don't do something" in archery because so much is down to the individual and where you feel comfortable.
You need an anchor point of some description. Whether it's corner of mouth, cheekbone, breastplate, ear...
...with my target bow I slip my thumb under my chin and draw until the string touches the tip of my nose.
....I've a pal who short-draws. His anchor is the back of his wrist against his chin.
It's all good and everyone has to find their own style.
There are a couple of drawbacks to overdrawing(or what I'd think of as overdrawing).
First is the pain factor. The more body parts you draw the string past the more chances there are of it hitting one of them on it's way back. Nipple and nose are the two favorites and neither is much fun.
Secondly it limits your further options of style. After your first nipple catch you'll likely never try to cant the bow again.
Canting the bow does a few things. It clears the sight picture of the top limb, stops the arrow trying to fall off your hand while you're drawing and perhaps most importantly(although it's a subtle thing) it staightens up the apparent angle of the arrow.
The arrow's down the bottom of your sight picture right under your dominant eye with the nock and point lined up to the target. With the right arrows it practically removes the side-side part of the aim from your thought leaving you just the distance judgement to consider. If you then find the bow's point-on distance(where the point obscures the target in your sight picture) you're a lot of the way towards getting to grips with that particular bow.
[Edit] Thirdly
the tension involved when releasing is different from that while you're drawing the bow. It's not done through the arms but rather by kind of squeezing your shoulderblades together. It's not to say you won't be able to do this while overdrawing but there is a comfortable range and for most folk it coincides with an anchor around the mouth or cheek.
