On the Savinelli site there's a nice display of their standard pipe shapes (as opposed to freehand). However, Sav uses only numbers, not the standard nomenclature of billiard, bulldog etcetc. Even so, it is useful to ditinguish what tweaks differentiate different iterations of something as functionally straightforward as a pipe.
The standard nomenclature seems to be shifting into the realm of specialist jargon. When I was looking for my Dublin, I'd go onto a site, put "Dublin" into Search and come up empty, even though the seller offered this style. In other cases, the Dublin took a sharp eye to distinguish from a billiard. As I remember, even Peterson has a Dublin style, but doesn't use the term for it. Instead, I think Pete uses the term Dublin to denote one of their lines, Like Kilarney.
In my experience, most young pipers do not seem to take an interest in the traditional styles, limiting their early exploration to straight and bent. Maybe an interest in the tradional types will develop later when it becomes necessary to give the significant other some plausible, creative reason why it's necessary to add pipes after you already have half a dozen. "But dear, I only have apples and billiards. You wouldn't be happy with one or two brown purses, would you? And just look at your shoe museum."
The young pipers are just following the conventional pipe-site presentation which divides all pipedom into four parts -- smooth or blast, straight or bent. You want a straight, smooth Dublin with nice grain? Go fish! (Which I did and got a nice, new-to-me Upshall and a new Aldo Velani.)