I am looking at it in a customers perspective not a buisness perspective.
For me, unique names make the console feel unique and irreplaceable where as a numbered console gets tossed away the moment they buy the latest model.
I prefer creative names, numbers are just plain boring and expected. There is no creative thinking behind using numbers. That isnt just console based but Phones are also criminal to over using numbers for models.
I think gaming console history actually proves that the overwhelming majority of people care about the console, not the name.
Ask gamers about their favorite consoles of all-time and I bet you'll hear a lot of numbers mentioned, especially "PS2." On the other hand, some of the most creatively named consoles have been less popular. I very much doubt that the name plays much of a factor, if any, in people tossing out consoles, either.
Perhaps the name of the console is really that important to you but I believe we have more than enough evidence to say that most people feel otherwise, especially with Playstation having such reliable success and beloved iterations. It's pretty clear to me that the perspective of the average customer isn't much troubled about numbered console versions.