Versa, I will say that there is one person reading this thread who is the exact counterpoint to your argument. Me. I've chosen between the 360, ps3 and the wii. I purchased a wii. Would I like one of the other systems? Sure. Does that make me a non-gamer because I don't use the PS3, 360 or PC as my primary gaming platform? I guess that's what is being discussed... I don't believe that it does.
Maybe then, by your definition, I am not a "gamer". (hardcore or otherwise) I disagree, as I think many would. Sure, there are a lot of "gamers" that will have either a ps3 or a 360 and that's the big choice. There's also a segment of the market out there that is choosing the wii over the other 2 consoles as well. For whatever reason people in this thread want you to make that concession instead of just drawing the line at gamer vs non-gamer with anything other than the wii as proof.
Personally, I don't care what you want to call it. =) I'm happy with what I got, and I don't really care who "wins" this generation. There's lots to choose from when purchasing this time around, which is only a good thing.
Of course people that buy a Wii are gamers. All it does is play games after all.

I guess I would say that you are not a hardcore gamer though, if the Wii was your choice for a
primary gaming machine (and by gaming machine I don't mean just consoles but PC as well).
I would say that you are probably not a person that buys tons of console games, and spends tons of time playing them.
Heck I could be wrong though, and I certainly don't mean to speak in absolutes here. I have no scientific proof. I haven't done any proper polling.
I just look at the game library for the Wii, and go off my own and friends experience owning one.
The Wii is fun. The controls to lend to some interesting and fun gameplay. The experience isn't so great though, that traditional gaming and controls get tossed out the window.
If you can look at games like Orange Box, Call of Duty 4, Bioshock, Mass Effect, and say that you don't really care that you won't be playing them, then yeah... You are not a hardcore gamer.
The big games will still appear on the more powerful traditional consoles, and if you are a hardcore gamer, those are games you will want. The Wii doesn't compete at all for that market share.
As for what DaveMMR said...
I don't think they should ignore that demographic that the Wii is tapping into, but that demographic isn't going to be buying a $400+ game system anyway, and the software attach rate they provide isn't very high. Software attach rate obviously being very important to a system that loses money on the hardware.
In order to compete in the market that Nintendo went for, they would have had to sacrifice all the power, and going back to earlier in this post...
Those new controls are fun, but they aren't fun enough to scrap traditional gaming altogether.