That depends on the incident. Run out of fuel and make a forced landing? That hurts you, without question. Have a structural failure or systems failure that you handle well, that may help you.
The bottom line is what you could have done to prevent it. If you have a wooden propeller separate in flight because you failed to do a good preflight, that's not a good thing. If you experience something over which you had no control, but with which you dealt professionally, that's a good thing. It can be used to your advantage.
You stated you never heard much from the FAA. Did the FAA get involved at all, or not? Be specific; it's hard to address such generalities. What was the nature of the event, how was it handled, who did you talk to, what role at any phase did the FAA play, what was the cost, how did the insurance get involved, did it affect your employment at the time, what type of operation and employment were you under, etc? It all matters.