Well, hard to say, as there are different possibilities to transfer digital signals...
Here is a short difference between tubes and LCDs:
Tubes create a picture line by line using a beam.
The beam actually shoots with different voltages at the fluorescent pieces at the front of the glass of the TV (as I am from Germany, I don't know the exact words in English, sorry).
The higher the voltage, the brighter the fluorescent piece glows. There are three fluorescent pieces per pixel: Red, Green and Blue (sounds familiar, eh?
)
When all three glow with maximum power, we get a white color.
So basically, we have ONE single beam making the whole picture.
Now onto LCDs:
LCDs consists of Liquid Crystals. Each crystal glows when it gets some power.
The difference to the tube: Each crystal has to be powered seperately (for the tube we just needed ONE beam).
To realize this, you need a kind of matrix, where every single crystal can glow.
And to control this matrix, you need a controller IC which sends digital signals to the LCD.
Pretty easy to understand now:
Since LCDs have a different amount of pixels (i.e. GP32: 320x240, PC TFT: 800x600, 1024x768 or even 1280x1024) we have different matrixes which need different ICs and digital signals.
If you want to connect an LCD DIGITALLY to a device, it has to be created for the SAME controller IC.
The mentioned PSOne LCD has ANALOG RGB inputs.
How does this work?
Pretty easy: The controller IC of the LCD converts a standard analog signal into a digital signal for the LCD.
I don't know anything about the GBA/PSOne hack project, but I assume they got some analog signals out of the GBA (which is probably possible, because Nintendo also has a hardware to connect GBAs to a big screen, used for presentations).
The GP32 lacks that signal, so I'm afraid there is no possibility to connect the LCD...
I hope I cleared things a bit up... although I didn't know all the words for what I wanted to say