Putting on my old school broadcast engineering hat for a second. There are a lot of differences between CRTs and LCD displays, and in terms of nostalgia and authenticity towards 'the way it was' yes there will be something lost. For starters, CRT tubes were driven with an interlaced signal - the gun would scan top to bottom every other pixel row in 1/60th of a second, then scan the rows between those bottom to top in the next 1/60th of a second. Each set of half resolution rows is called a field. NTSC television ran at 60 fields per second, which gave the motion equivalent of 60 frames per second. A lot of these video games ran using only one field, for a vertical resolution of about 240 lines, at 30 fields per second. In between those lines were black lines, which gave the games a unique look. Rather than doubling each line, which makes the graphics look blocky, the black lines tricked the eyes into making it look like it was a higher resolution than it actually was, it gave a pleasing look. On some emulators such as MAME, there is an option to add the black lines in, which approximates the look. for the games that ran the full 60 fields, it also had a unique look as you could make out interlace flickering. Another artifact is the slight glow / spillover from each pixel, and the rather large visible discreet R, G and B dots that make up each pixel area, which also had some black between them. Add to that the curvature of the glass, and the frequent misalignment of the RGB pattern giving a chromatic abberation towards the edges of the signal. (when the R, G and B lines diverge) plus the softness of the analog signal overall, and you have a pretty unique look. In truth, emulators display games far crisper than they ever looked to us. This tends to over-emphasizes the simplicity of the graphics in a negative fashion. It's very possible to get close to the CRT look, but it will never be quite the same. I think that increased computing power will allow for the emulation of all of the artifacts listed above in realtime, it's just a matter of someone understanding them enough to emulate them. you could even dictate a level of screen burn for the attract screens, which most games tended to develop after a number of years cycling endlessly.
In the mean time, get thee to an arcade expo such as California Extreme to experience it 'as it was'.