I think the question concerns whether numbers would be used, and "Amiga" would effectively be both the name and the brand, or whether unique names would be given to each system.
I prefer the numerical approach, personally. No, "AmigaOne" doesn't count. I mean, real numbers. That way marketeers don't waste time coming up with idiotic names that sound bad and have nothing to do with the system at all.
Although, I must admit that names that are multiples of thousands is pretty lame. That is just so 80's. ;-)