I'm leaning toward the former. The important thing here is the transitivity of the verb is - we have and not , with the former being intransitive () and the latter being transitive (). For some very simplified example sentences, you'd see usages like
> (My wounds will heal)
vs
> (I will heal your wounds)
Consequently, the way it's written, it sounds like it's about wounds healing on their own. At the very least if the author wanted to express the idea that the subject of the sentence was going to heal those wounds, they intentionally chose not to.