... the manual states that channel separation is what's being measured."Channel separation" is just a derivative statistic. The only way to quantify it is to measure how much information intended to be in channel A is bleeding into channel B, and vice-versa; i.e., crosstalk.
If you measure crosstalk in each direction, average the results and subtract from a notional maximum signal level, the resulting statistic is called "channel separation". The less crosstalk, the greater the channel separation. They're exactly and inversely proportional.
A statement that one is measuring channel separation but not crosstalk would be nonsense. They're two sides of the same coin.