does washing vegetables and fruit with baking soda make sense?
From what I can tell it seems like you are asking whether a baking soda solution is a good solution for cleaning fruits and vegetables. The answer to that would be not really, you're wasting good baking soda. Research shows that even purpose made commercial vegetable cleaners were no better than plain water for cleaning vegetables, it's the soaking time and technique used that makes the difference. 

The only chemical tested that seems to make and difference is chlorine, which demonstrably reduced contamination on the outside of melons. However, you don't eat melon rinds, I wouldn't wash vegetables or fruit that I was going to eat in a chlorine solution because chlorine is unpleasant stuff and will probably ruin your flavors. 

So washing your vegetables in baking soda, vinegar, or baking soda and vinegar is no better than washing them in plain old tap-water. It's better for your flavors that you do not as well. The only use I know of for baking soda in the preparation and cooking of green vegetables is that adding a bit when boiling green vegetables helps preserve their vibrant green flavor by neutralizing the acids that break down the chlorophyll. The trouble is it also turns them to mush, so I never use that method.