I think of consoles more in tiers.
But I also think of Nintendo in terms of historical eras (excuse my slight Eurocentrism):
The Dark Ages: N64-Gamecube - Nintendo lost their way. The N64, while innovative had hardly a simple or intuitive approach outside of the analog stick. The controllers on the N64 broke easily from wear-and-tear, the system required a number of add-ons for the full experience, and the games were double to triple the price of the competition. Additionally, they were arrogant enough to create a "Dream Team" which was a select number of devs with special treatment. In the meantime, ignoring the requests of their other loyal partners like Square. Then during Gamecube times, made their least innovative console, and was home to hand-me-down ports of PS2s driest third party Ubisoft/EA non-exclusives. Nintendo lost the majority of their home console fans in this time. Like the dark ages that spanned Western Europe, it wasn't all dark, Ocarina of Time could be said to be like the Charlemagne of Nintendo, a nice small period of greatness.
Middle Ages: GB/GBA - while we didn't play much N64/Gamecube, GB and GBA saw remarkable growth at the same time. If this period marks N64 and Gamecube as France and England, and PSX is like Golden Age Spain/Iberia during the same period, then GB/GBA is like Venice/Genovese/Hanseatic Europe, or perhaps even the Byzantine Empire. This was a thriving and growing era for Nintendo, what kept them afloat while their main pillar of home console game collapsed. These fans were also largely the ones who clickstarted the next era of Nintendo.
Ha! This was a creative post and I liked it. I do gotta question the disliking of the GameCube though. It had a larger library of quality exclusives than Wii, and way better 3rd party support. 3rd party developers mostly abandoned the Wii for the 360, and PS3. Meanwhile GameCube still got all those games that were released to all three major consoles simultaneously. Games like Soul Caliber 2, X-Men Legends, MK: Deadly Alliance, Prince of Persia, Timesplitters Future Perfect, Hitman 2, and the Sims.
I wouldn't quite include 3DS as part of the 2nd dark ages. Not unless we are going to count PS3 as some sort of dire dark ages for Sony. PS2, and DS were just juggernauts that weren't going to be touched by their sequel consoles. 3DS should have been launched as 2DS XL model for $180, instead of that damned teeny tiny $250 launch model 3DS. Just like how Sony should have dropped the damned Blu-Ray player and launched a $400 PS3.
Otherwise though, I think you nailed this.