If you take good care of the wound, it will eventually heal over time, but despite all this, the wound may become persistent and even start to fester.
A lot of intrinsic will is needed to deal with this wound, and if you hesitate for even a moment, sepsis will develop and doom is certain.
This wound can heal and leave a scar, but you can live with it if you try to adapt to it. Chronic pain may remain, but you survive.
There are many different wounds, many heal, many scar and many can get worse.
But what I am certain is that a minimum level of care is necessary to survive them.
So to answer to your question, i don't believe that only time will help.