I dont think an emulator can ever replace the classic amiga when it comes to games that hit the chipset. As you said, the emulators works perfectly well in rtg using workbench and software, but you will never get the true realistic experience when it comes to games. A pc/mac just wont be able to render for example scrolling as smoothly as the real thing and it is also very hard to get audio totally synced with gfx even on a modern pc.
I believe also e-uae lacks vsync to refresh rate, which will cause the grapchics to tear during movement, which is something that never happens on the real amiga.
But then again, i am very picky about this stuff and some people will probably not even notice these problems.