The word emulation refers to:
An ambition and effort to equal, excel or surpass another; to compete or rival with some degree of success, especially through imitation
The low-level simulation of equipment or phenomena by artificial means, such as by software modeling. Note that simulation may also allow an abstract high-level model.
Computing
Emulator, imitation of behavior of a computer or other electronic system with the help of another type of computer/system
Video game console emulator, a program that allows a personal computer or video game console to emulate another video game console
In-circuit emulator, a program used to emulate the processor in an embedded system, to aid in debugging
Hardware emulation, the use of special purpose hardware to emulate the behavior of a yet-to-be-built system, with greater speed than pure software emulation
Emulation for Logic Validation, used to emulate hardware in manufacturing automation
EquivocationEquivocation consists in employing the same word in two or more senses, e.g. in a syllogism, the middle term being used in one sense in the major and another in the minor premise, so that in fact there are four not three terms. Often this happens when the two meanings are similar despite being distinctly different.
Example Argument: All heavy things have a great mass; Jim has a "heavy heart"; therefore Jim's heart has a great mass. Problem: Heavy describes more than just weight. (Jim is sad.)
What you say, loosely speaking, is true, however, there is a distinct difference in how UAE and AROS/MorphOS/AmigaOS 4.1 "emulate" an Amiga. There's also a distinct difference between what you get from those two differing types of "emulation." You are taking the meaning in one sense, i.e. precise emulation of Amiga via software as superior while ignoring the advantages of API emulation on more advanced hardware.
Play nice.