The problem is not wound healing, the problem is over the top inflammatory responses, and yeah with out them injuries could be much worse, but we get a lot of diseases because of accumulated damaged from long term inflammations. Point is doing simple things like eating a bit of sugar spikes your inflammatory reactions, causing all sort of problems down the road.

Ideally we could have a switch, low inflammatory reactions when good, high inflammatory reactions on injuries.

Many problems with would healing are due to nutrient deficiencies. For example, people who are sulfur deficient will heal and recover much slower than those who are not.

That's why so many professional athletes take MSM (Methylsulfonylmethane). Their bodies would not be able to recover as quickly without the extra sulfur.

Your liver makes platelets so if your liver function is not optimal, wound healing is harder.

Some people also have rare diseases where they don’t have clotting factors so require a transfusion of clotting factors before surgery for optimal wound healing.