The assumption you're making here is that the Earth "heals", as if a wound has been inflicted. Likewise, that there is a "normal" level. In other words, that there is a prevailing state to which the system returns to, or must return to. I invite you to question that assumption first and foremost.
You must think of the Earth more as a process than a fixed thing. Thinking about this system in terms of feedback loops may be more helpful here.
Drastically increasing C02 levels affects several feedback loops in the system, essentially transitioning it to a state that is different to the current one.
As noted elsewhere in the comments, the Earth has gone through different eras in which the atmosphere had "high" and "low" levels of C02.