Exactly - the availability of tints depends on the flux bin. That's not confusing, it is explaining.
I said that
in practical terms, there was a correlation, not that there was a
direct correlation.
For a good example, compare these adverts for the two variants of the Nitecore D10:
D10 Q5 Version
D10 R2 Version
If you scroll down to the bit where the LED emitter is specified, you will notice an interesting difference:
The 'WC' in the Q5 listing is specifying the tint bin. In this case, 'WC' refers to a cool tint that I see as a crisp pure white (colour perception is a very subjective thing and some people think it has a bluish tinge).
Notice the interesting omission in the R2 listing ? That's right, the tint bin isn't specified. So if you order the Q5, you are
guaranteed to get a specific tint (WC) - but if you order the R2, the tint isn't specified, and you don't know what you'll end up with. I have a rather yellowy one, for example.
Push the limits on the brightness and you have less control over the tint that you can specify.