Here is my current chain:
GameCube > component cables > Monoprice component to VGA converter > VGA cable > Extron Super Emotia > RetroGamingCables BNC to SCART > RetroGamingCables SCART to PVM > Sony PVM-2530
Game Boy Player settings are on Sharp, image is NOT stretched. Emotia is set at non-interlace NTSC with overscan, which works absolutely perfectly when I play emulators through VGA.
Here are the results I get:

Notice the ghosting on top of the characters' heads? That's not right. Here's an even better example:

The same letters in different locations look different.
It's hard to describe, but basically, some sections of the screen look perfect, and some look strange...like when the Emotia is merging the wrong lines, and they look "blurry." Except it's just some of them, not all.
So...what could the problem be? My running theory is that the Game Boy Player does NOT spit out a perfect 2x image of the GBA window...I would expect a 480x320 window with all of the pixels doubled, but I'm guessing that the GBP spits out something a little bigger than that. If so, I guess getting a nice 240p image is hopeless, unless someone writes custom software.
Any other theories? Could my VGA converter box have something to do with this?