Gamecube multi-plats were pretty good back in the day, and they still usually sold worst on the GameCube.
Capcom was so disappointed with their Resident Evil sales that they weaselled out of their deal with Nintendo.
So y'know this isn't all on third parties, but even the premise to begin with that a third party owes any one of Sony/MS/Nintendo anything is absurd to me.
They should go where ever business is best for them, Nintendo/Sony/MS have no problem charging them $10 for each copy of a game whether it sells or rots in a bargain bin, third parties are taking tremendous risk in the home console model.
That and there's a demographic issue here ... why should the maker of say Grand Theft Auto have interest in a platform that's primarily aimed at the family market? It doesn't make sense to prioritize that platform, but when Nintendo fans complain they complain that these are the types of games they're not getting (generally speaking the violent action games that even Nintendo has problems selling themselves on their platforms). They gloss over that third parties are perfectly willing to support with things like LEGO, Skylanders, Disney Infinity, Just Dance, and other family friendly fare.
The vast majority of the audience for games like Resident Evil, Grand Theft Auto, Metal Gear Solid, Final Fantasy, Assassin's Creed, Batman, BioShock, Madden NFL, FIFA, Need For Speed, Tekken, Street Fighter, Skyrim, Witcher etc. are not on Nintendo systems. Nintendo lost the interest of audiences interested in these style of games with the GameCube and they have never recovered from that. Even with the Wii, what does it matter to me as the designer of GTA that a soccer mom is hot for the Wii?
The Wii got tons of third party support, again though it was largely based around casual mini-games, which is what the system was aimed around.
Third parties aren't "scared" of Nintendo, why should the maker of GTA or COD be scared of Nintendo? They can crush the sales of any Zelda or even Smash Brothers game. They just don't care about Nintendo platforms and have little reason to.