I'm not buying this "dumbwaiter" approach.
All those moving parts, all those chances for something to go wrong en route from the "galley" to the destination. And it took just about five seconds, maybe ten, for Kyle
and Nurse Chapel
to each access randomly selected food. (Remember, it was the Sergeant's idea to have chicken soup; if it was hand-prepared, how did Sarge know it was on the menu?) No turbolift in TOS ever worked that fast. And lest we forget the quickie drinks that Mirror-Marlena whipped up
To approach it from the opposite direction... We know that Federation starships use transporter technology and subspace everything, including hand talkies. Why not low-grade ("molecular resolution", to use a Sternback term) replicator/microtransporters?