The edutainment games and Hotel Mario may not be very well linked to the Marioverse. But then again, they don't contradict anything. Except for Mario being a not silent protagonist. But does that really matter? As a matter of fact, I started to abandon this theory when Toad wasn't used to Mario being so silent in SMRPG, implying that, even if offscreen, this isn't usually the case. Plus, in the Paper Mario games, you can clearly see Mario talking, you just don't know his exact words. And you can make him say things in those games too. And besides, do you really expect the world's smartest Goomba (Until the next game) to fill in for every word Mario says? So in short, it's safest to say that Mario is silent when he chooses to be. Just like Luigi. In all Paper Mario games, he is perfectly capable of a civil conversation (Minus the attention), yet in M&L:SS, he's just as silent as Mario. As for TV, I'm just looking at the least likely thing there is: Mama Luigi. And yet, there isn't a problem, so long as we assume neither the Yoshi in SMW2, nor the Baby Yoshi in YIDS, were THE Yoshi, who was actually born, sometime during SMW. Heck, is there even a THE Yoshi? How do we know that the Yoshi in Mario Party Advance is the same one we see in Mario Kart 64? Some may argue that character personalities from TV series don't match the ones in games. The only one I notice right now is Yoshi's childish and always hungry personality. As well as my rant from before, there's also the possibility he grew up after SMW, as he never had much of a personality then. Then there it is. The matching personality, in a likely canonical game: Game & Watch Gallery 3 and 4. In both, the Cement Factory and Chef games depict Yoshi with an obsessive lust for food. My point is proven further in the former game, in which Yoshi cries if he has not been fed in a while. Then there's the comics. Hmm... Super Mario Adventures is, like Mama Luigi, an adaptation of SMW. However, they contradict each other. I'm going to say both are canon, and either Luigi's Memory isn't so good or he wanted to seem more heroic. But even then, Super Mario Adventrures isn't so accurate itself... Remember, it all started when Mario, the princess and I went to dinosaur land for a vacation, as explicitly stated in the manual and the introduction to SMA2, while in the comic, it starts with the Mario Bros. plumbing at Peach's Castle. Then, there's the fact that, while the Koopalings have a certain personality in the cartoons, it appears to be totally different in the Valiant comics. Mario Vs. Wario comics are OK, they actually provide us valuable information on Wario's backstory. And I really don't see anything wrong with those obscure German comics either, besides their story on Wario's origin. And even then, that's just one story. As for remakes, I only consider them canon if they expand the story, like Donkey Kong '94. When this happens, I rule the original versions out of continuity. The SMB anime is OK, but the Super Mario Armada series is out. So is the Movie. The characters are completely different to the ones we know. Ice capades are also okay.
But that was one pointless rant. If we were to ask Nintendo themselves, they would probably say "It's your decision. That's what we like about Mario. We can do pretty much anything without completely rewriting his history."
And as for DKRDS, it's a sequel.
BANJO BACK ON THE WIKI. And Conker.