You aren't understanding. There is no plugin-based N64 emulator that generates the same frame buffer pixels as hardware. Exactly zero of them run the original RSP code and generate the actual hardware's rasterization data. Exactly zero of them draw the triangles the way the RDP did (which is not at all like the way modern GPUs work). MESS starts to be in the right neighborhood, but nobody else even tries.
Also, you're missing the filtering effects of CRTs in both the Model 2 and N64 cases, and NTSC artifacts in the N64 case.
Hence, emulator shots are completely bogus vs. the actual experience we had playing those games back in the 90s before you were born.
Also, most of the Model 2 games were garbage. The only one people will go out of their way to play today is Daytona. There's nothing of the stature of Mario 64 or Ocarina of Time or pretty much Rare's entire output for the system.