Most consideration are too general to be applied to real cases. For example, a low temperature compressor can be used for high temperature, provided superheat is kept low enough to boil it off.
Also: the rotor can be modified on the fly to accomodate a wider or narrower rotating disk and cool the motor at the expense of discharge temperature.
So, I do not agree with you 100%.

Also please note that low, medium or high temperature is not a feature of Embraco, but it is decided by european norm EN12900.