For the record. It’s not my fault that the writers on this episode didn’t know about the replicators, and I have no idea how Charlie would have known what real turkey would taste like.
Actually I can answer why that happened. Replicators didn’t exist at the time. They were an invention in between TOS and TNG! In DSC, SNW and TOS they use ‘Food Synthesizers’. Replicators can create matter from energy by ‘simply’ converting the two but food synthesizers would use nutrient stock and protein slurries and such to sort of ‘3D print’ a meal. You’d be starting with organic input that was then rebuilt. Fresh food that was prepared by hand tasted far better which is why you have Pike cooking in his kitchen and Chefs onboard the Enterprise.