Hey, I understand, thanks for the clarification.
Yes, this is what I was getting at when Kontakt does things unique to what's common in the industry.
To clarify: Each time you load a new preset, each knob is no longer the same knob, therefore you can't go "Global Link", as if that one knob is CC# 1 for one preset (piano).. then you go to a new preset (guitar), that knob may be CC #14, for example.
That is correct in my understanding, from what you described, right?
For Kontakt not recording automation to FL Studio, sorry, this is something I cannot help with as I've always avoided Kontakt player.. I tried it in my early years and noticed parameters were always so small, and required lots of software to access the actual VST itself..
I just want to leave this page for others reading too about choosing wise plugins (not to say you aren't enjoying Kontakt, but as you've experienced, they do not do things the standard way):
https://itsgratuitous.com/how-to-select-the-right-plugins-as-a-producer/