There is pretty much no guarantee that any player coming from a different system with different linemates will thrive once they get to Buffalo. Unless they are a all-star center, they may end up being a PLD in LA situation,. The centers everyone knows will succeed anywhere are rarely ever traded, so that may not be a realistic expectation. (Doesn't mean that they don't have to try to find that player just that the chances of landing him are fairly slim).
If Terry and Adams can find a true top 6 center, then sure, they can move Cozens and pencil Kulich in as a backup plan, but until they have someone that can play center in house, I'm holding on to Cozens. Give him a legitimate defensive winger to free him up a bit offensively and allow his brain to stop overthinking his defensive assignments and my money is on him returning to 25+ goals and 60+ points.