I've had 2 kinds of phosphoric acid from the paint store. One left a bit of a film and I felt it must be rinsed. The other not at all. And I have read that you can leave the acid and paint right over it.
So with mixed info, I can't be sure, but I'd tend to rinse it and maybe not with baking soda after all. That is important with some acid treatments.
FWIW, the Jasco brand is what left a film while Krud Kutter brand "The Must for Rust" has always been the best. Hard to find and not to be confused with the Krud Kutter cleaner.
