Storm_Eagle, I'm not sure what kind of TV you're using, but my GCN is connected via my DVD Writer (Panasonic DMR-HS2 now discontinued in favor of newer models
) which is connected to my Sony WEGA Model #KV27FS13 27" Flat-CRT TV via an S-Video cable, and I have to say, compared to my other (Jet Black) GameCube which is Connected through my SONY SLV-N71 VCR's Composite Cables to my 19" Toshiba TV (Can't remerb the Model Number though), there is a VERY NOTICABLE differance oin picture quality on the "Rounded" CRT screen for every game.
Rouge Leader looks MUCH better on the WEGA than it does on the Toshiba TV as does Luigi's Mansion, and any other Game I have, at one point I was using a Composite Cable on both TV's and the WEGA STILL looked better.
Now I don't know what your set-up vs. One Winged Angel's set-up, looks like, but if he's using a newer/better TV than you and a Better Quality Cable S-Video/Component Video, he probably WON'T notice any pixelation except maybe some minor block noise found on many DVDs and other "Digital" Media such as GCN Game Discs, even cartridges.
I'm guessing your TV isn't a year old, or it isn't an extrmely high-end Model, and while mine is the Lowest of the Low-End part of the WEGA Line, it's better than most of Sony's other TV's as well and the proof is in the pcituree comapred to my older 13" and 27" "Rounded" Trintron TV's.
I suggest either connecting the GCN directly to the TV, and if you're running it through a VCR with S-VHS Playback, than use an S-Video Cable, if you can connect the GCN Directly to the TV Via either S-Video or Component Video cables, Nintendo Sells Component Cables Directly for $50.00 only, you can't buy them at a "Best Buy" or anything, and they also make an S-Video Cable which replaces the current Cable that came with your GCN, try either of them out, the S-Video Cable is probably the way to go, it's about $20 and is great for improving picture quality.
I don't have a GBP yet myself, but I might try it on both of my GCN's to see if it looks better on one TV than another, but consider this:
You're using your TV the way you us ea Computer Monitor, some PC Monitor's look nicer than others, as I can tell you, my Gateway's Monitor looks like crap, my NEC Monitor from Alienware looks amazing and crystal clear (Since they didn't assemble it at Alienware's Factory) and just like my Sony and Toshiba TV have differances, so do those two monitors.
If you have another TV, try the GBP on there it may look better or it may look worse, remember, the system is always the same, the differance is in the TV and the types of cables used.