Is there a difference between these cones?

To me an “ice cream cone” is a sugar cone. I remember the first time I was asked whether I wanted a sugar cone or a “plain” cone. I said “plain” because I thought that meant the standard one you always get.

I was sooo disappointed with what I got. A flavorless spongy cone that tended to absorb the ice cream and go soft. And that horrible grid at the bottom … Ugh. Hate those.