If the Areola is Cut Open, Would It Heal Back to How It Was Before or with "Normal" Skin?

If you make a cut between the areola and skin and leave it open, it will heal slowly by secondary intention. This heals with scar tissue, most likely leaving a wide scar of neither areola skin nor normal skin. Theoretically, this would need then to be repaired with surgery.

Letting the wound heal in like that will lead to poor scarring and nipple-areolar deformity. 

 All incisions heal with a scar. The skin adjacent to the scar is your skin. Scarring is unpredictable and a lot of your healing tendencies are genetically predetermined.

All incisions heal with scars. An accurate approximation with sutures or some alternative (steri-strips, glue) gives the best chance of a nice scar. If left open, the incision will heal, but has a greater chance of a wider scar. 

Thanks and best wishes.

Thank you for the question. Leaving a wound open will produce a wide scar which will most likely distort the breast as well. The purpose of closing the wound is to get the thinnest, imperceptible scar, with the least amount of architectural distortion possible.

I hope this helps. Good luck.