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Pemalite said:

Sometimes people will add other blocks of the GPU into the equation to inflate numbers. (I.E. Geometry.)
But to keep in mind... That the "Flops" of the Xbox/Dreamcast/Gamecube/Playstation 2 will actually be different to that of the Xbox 360/Xbox One/Playstation 3/Playstation 4 as it's operating at a different precision.

It just reinforces the fact that flops is a useless metric.

It makes sense to use FLOPS when comparing modern-day consoles, since they're all based on the same underlying GPU architecture (apart from the Switch, and even that's similar enough to the others to be at least a useful ballpark figure), but the XB/DC/GC/PS2 all had completely different GPU designs, making it a lot less useful.

John2290 said:
All I remember was that xbox was the strongest game console by a small margin and in person the gains were slightly noticeable yet there was a different style to the first party titles. Whatever the specs gain as I believe the style of the games had more of an impact, at least at the time.

I think that had as much to do with the fact that probably 90% of games from that generation were designed with the PS2 in mind, and just given bumps to resolution, texture filtering quality and anti-aliasing when they were brought over to the Xbox and Gamecube. Microsoft and Nintendo had a better understanding of what their console's strengths were, and so designed their first-party titles to take advantage of them.