On my LCII, System 6.0.8, 6.0.8L, 7.0 and 7.01 all say "Macintosh LC". However, System 7.1 says "Macintosh LC II".
As we all know though, like with any other 68k Mac, System 7.5 onwards refers to it as simply "Macintosh".
As we all know though, like with any other 68k Mac, System 7.5 onwards refers to it as simply "Macintosh".