If you design one circuit to work the same as another one then it is a simulation.
So, in your opinion, in the Sony TV example I gave, the ASIC is a simulation of an FPGA? If so, then I put it to you that nearly every ASIC that has ever existed is a simulation. Heck, Amigas are just simulations of Lorraine. Who knew we were all using simulations after all!
When the company that made the original uses the same design but slightly modifies it (i.e. switches from an FPGA to an ASIC) then it's not.
Ah, I see, you realised you'd gone too far, so stuck in this caveat about it needing to be made by the original company. You're clutching at straws, seriously. Let's put it like this. Imagine Commodore went bankrupt after the A3000, and was bought by Atari. Atari then bring out a new Amiga model, the A1200. Does that now make the A1200 a simulation, whereas it wouldn't be if Commodore released it? I should point out that in this hypothetical situation, the Atari A1200 is absolutely identical to the Commodore A1200 we know today, apart from the company that made it.
The same way that IBM made IBM PC's and other companies produced IBM PC clones. The term clone doesn't refer to the circuit being a direct copy, only that the same software can run. In todays language it would be an emulation.
Your use of the term 'emulation' is very wooly. The only major difference between an IBM clone and an IBM PC is the company that assembles it. IBM don't make PCs any more, but if they did, think about this... IBM brings out a new desktop PC. I then build a PC for myself that uses the EXACT SAME PARTS as the IBM one. Is my computer emulating/simulating the IBM one?
I think where you're going wrong is that you're trying to stretch the term 'emulation' to encompass the term 'copy'. When it comes to computers, copying something is not the same as emulating something. Emulation has a specific meaning when it comes to computers, it means making one computer run programs from an incompatible one. Copying, on the other hand, is prevalent throughout computing. For example, if I copy a file (i.e. clone it), am I emulating the file? I'm sorry, but your definitions are not standing up to scrutiny.