Good example. Here is one I use:
True story. I was out doing a painting in a field when I was attacked by the land owner’s great dane. I was able to fend him off using my folded camp chair until the owner finally called him off. My camp chair still has the teeth marks...this is how I usually tell the story. Other times, I might include the fact that there was a second smaller border collie attacking me at the same time using a flanking maneuver.
Now read the gospels about blind Bartimaeus. One gospel says that there were two blind men and the other only records one. It seems like a contradiction until you realize...that is how people tell stories. One emphasizes what he thinks is important, and the other does the same.
I think your example is better, and not just because it is personal.