if what you mean like for instance the Puresound lines, Ty Hi Z, Seahf, or the K's which all have number coding to identify it's impedance, then no, they are not the same models because each have different types of drivers. it's not something in the cables that make them power hungry, but the drivers itself.
it is different from using an impedance adapter, because that will only load the cables, starving the driver so that it can be pushed with a higher volume before it vibrates or give the same volume to it without the impedance adapter. the high impedance headphones/earphones overall just have a higher headroom to play, so they usually will have a lower noise floor (resulting in blacker background) than the low impedance earphones. that's why adding 200 ohms to K's 300 will not make it sound like K's 500.
on BA drivers (like the ER4), using impedance adapter usually gives it a brighter tone because the bass lessened.
while on the dynamic drivers, it usually gives it a more mellow and softer tone, especially on the treble.
so using both IEMs and earbuds with dynamic drivers using impedance adapter will give the same tone result
i do like having an impedance adapter lying around. i think of them as another way to EQ and give colour to the sound