I heard a short debate about this on NPR the other day and it just felt right.
My view is when we use a very important and very loaded term, everyone should be able to understand what it means whether it's in science or any other field.
For example, what's a carb? Is an apple a carb? Broccoli? A donut? Does anybody really know what people mean when they use the word?
The term statistically significant has come to be one of those unclear terms few people understand that carries so much weight. There is a very thin line that separates statistically significant and not. Yet one means true and the other false in most minds.
If nothing else, talking about it to understand that it doesn't mean what most people think seems like a great thing. 🙂