It's not petty. It's not a real amiga just like a fake diamond is different from a real diamond. Now subjectively, whether it makes some difference to you or not is another matter. You cannot establish it's a real amiga by trying out a few applications (inductively).
First define a "Fake Diamond". If you mean a piece of glass cut to look like a diamond... then in some situations it will function as effectively as a real diamond, i.e. cosmetic uses. But it isn't a diamond since it can't be used where the physical and chemical properties of diamond are required (Diamond being carbon based, and glass being silicon based).
In computing terms, it would look like a the real thing to the "user"... but any "software" would fail.
If you mean synthetic, that is to say manufactured rather than mined, then the "fake diamond" will function perfectly. In computing terms, it might not look quite so good to the "user" (synthetic diamonds tend to be made smaller than natural ones, and so require careful configuration to look good), but any "software" would run perfectly.
Remember, the point of an Emulator is to run software designed for one hardware platform, on another unrelated hardware platform.