Right. The whole linguistic cluster fuck in my head is "mean and average are synonymous, and that measure is a descriptive statistic."
Accepting that average is synonymous with Descriptive statistic, not mean is troubling me.
My real fear is someone who calls a descriptive statistic an average is about to say to me that average and mean are synonyms as well, and that's when I'm ready to flip a table.
Your brain can't be healthy if you call average a descriptive statistic AND a mean.
Just learn the term descriptive statistic. Make your brain healthier. Communicate more efficiently with the world...