Yep. Altho I've been using LivFresh which contains edathamil [1] and has no baking soda.
The benefit of it being in your water is that you get that constant little flush of it
[1] [Effects of a Novel Dental Gel on Plaque and Gingivitis: A Comparative Study](https://escholarship.org/uc/item/2d87n65m)