My 'food on the bridge' issue is more of a 'coffee on the bridge' issue. Whenever one of those yeoman are handing out cups to the crew, where could they possibly set them down? Sulu and Uhura, for example, are out of luck, with their slanted work stations. And the armrest of Kirk's ever-whirling chair seems pretty precarious, too.
That leaves the railings, which are sort of inconveniently out of reach, when one has to get up out of their chair every time they want to take a sip. The only real option is to hold the cup, which could be problematic if the ship suddenly goes to red alert!
On
Enterprise, when Tucker wanted to add a cup holder to the Captain's chair, I thought it was a good idea! Reed certainly wasn't looking ahead to the future when he said "Just what the Captain needs during a crisis: a place to rest his beveridge".

Kirk and crew certainly did!