Such a soda does exist, and it's as nasty as it sounds.
There's also a celery soda that friends and I would substitute for someones ginger ale, with the expected results.
There are a lot of savory juices out there, and tons of hilarious videos describing just how vile they are.
That said, I'd love to see someone actually pull one off successfully. Something like grilled shrimp or roasted chicken would be awesome if you're on a diet and just finished off a huge salad.
