Oh no, our Alchemy does not need to work in conjunction with our partners. The link between the partners only serve to solidify their sanity hence dampen the effects of insannadiction. 

So far I have mentioned if anti-alchemic substance enters the blood stream of an Alchemist than that alchemist will be unable to use alchemy efficiently. 

What we will encounter here will be quite different in that it will render Alchemy near useless and what is strange is the Kings will be able to use their alchemy. 

The reasoning behind this i will reveal in story. xP