Hi Nigel,
Well as you know we need ways to describe things to people who dont know what they are yet and it helps to create 'handles' to these circuit objects so we can refer to them without going over the definition again and again.
I was taught long time ago that we call what comes out of a bridge rectifier (for example) "pulsating DC", simply because it contains a large DC component plus AC components, but even more simply because that's what comes out of a bridge rectifier. In other words, if we always call it "pulsating DC" then everyone would know what we were talking about right away without more explanation.
Calling it DC alone isnt right, and calling it AC alone isnt right, because it contains both DC and AC components. We need a way to distinguish it from pure AC or pure DC without going into these kind of time consuming details, so we use a term that is descriptive.
I guess i call it "pulsing DC" sometimes but i was actually taught many moons ago to call it "pulsating DC". A little different but not much.
If you still want to call it just AC then that will cause confusion when someone puts a DC meter across it and even without any filter caps it will read a DC voltage. It's still up to you though of course.