Heh, everything is better on Tubes whether it is guitar amps or gaming monitors? :-) I can pretty much assure you that with a 240Hz refresh rate 4K LCD monitor it will look better than your CRT :-) But it is perfectly valid to say "What is the best experience I can get for $X?" and find that CRT solutions out perform LCD solutions at various price points. That said, I suspect it is less about the "superiority" of the…
It depends what you will plug on it. CRT are considered the best solution to play unmodded old consoles (up to the PS2/Dreamcast/Xbox/Gamecube generation, and even the Wii) or VHS tapes. Games and consoles were made to look good on CRT, and to take advantages of specific features of these TV.