Would the GameCube Have Sold Better With A Mario Launch Title?

The GameCube is, for me, the best video games console of all time. Maybe it's because I grew up with it and was never off it, but one thing is for sure, I prefer it over every other console. But the GameCube didn't sell as well as Nintendo thought it would. This could be for a number of reasons, lack of disc space, the competition with Sony and Microsoft or maybe, just maybe, it was the launch titles.

NES launched with Super Mario Bros and Duck Hunt.
SNES launched with Super Mario Land, Pilotwings and so on.
N64 launched with Super Mario 64 and Pilotwings 64.

The GameCube changed things up a bit, three games launched with the system. One being Super Monkey Ball, another being Wave Race: Blue Storm. The final, was Luigi's Mansion. This was the first Nintendo console to launch without a traditional Mario platformer. But why the change? Was it to give the Mean Green Machine the LIMElight (See what I did there? No, oh...)

But would the Nintendo GameCube have sold better with, say, Super Mario Sunshine at launch? In my opinion, no, it wouldn't have. The biggest reason for this was because the Playstation 2 was also released. The original Playstation was critically acclaimed and millions were waiting for the arrival of the next gen console. Also, Microsoft entered the gaming market with it's Xbox, so competing with those two behemoth companies would be pretty difficult, especially with the exclusive games coming onto the Xbox like the new Oddworld. Not to mention the PS1 was an RPG buff, so people were expecting more RPG's for the Playstation 2.

So, in short, the GameCube wouldn't have sold better with a Mario launch title because of lack of space on the discs and other competitors such as Sony dominating the market.