I've done both... LCD and CRT...
For quality, the CRTs win... Unless you've got some really great LCDish screen (Plasma or ?? I don't know..), I don't see that it's a question really. CRT is better..
But CRTs get MUCH bigger as the screen size goes up.
I currently use a 1084s on my A1000, which I love.. Great image quality...
But my A1200 is connected to an LCD. That's purely for desk space reasons.
My work desk has my work laptop on it, then my main LCD.
I have a KVM for the main LCD, so it's either the 2nd screen for my work laptop, the screen for my desktop, or the screen for my Amiga.
Trying to fit a CRT there that I can use with the Amiga just didn't work.
I actually have a 1702 in the corner of the desk, and it's OK for my Vic-20/Atari 7800/etc, but not for the Amiga with keyboard/mouse. (It's fine for the Amiga with joystick, but I use my 1200 with the keyboard/mouse a lot.)
Now, the Amiga looks pretty good on the LCD. But I prefer to game on my Amiga 1000 with the 1084s. (Which isn't on the same desk, back corner of the office.)
Indivision (which I don't have(GBS), but have seen in action) is a great piece of hardware. And using it with an Amiga is great.
But I prefer CRTs. My MAME machine has a CRT as well.. I just prefer CRTs, when space is available..
desiv