they theorize the use of potassium sulfite instead of sodium sulfite in DDX may increase film sensitivity
Hmmmm. Very skeptical about this, to begin with. But OK.
However, this here is really doubtful:
experiment with using potassium sulfite in other developers such as Xtol
XTOL contains a pretty massive amount of sodium sulfite. If you add a little potassium sulfite to it, there'll still be a mass of sodium ions swimming around in the final soup. I doubt that the potassium ions are going to be doing much good, at all. They likely won't make any difference at all.
What you
might try if you buy into the whole 'K+ will increase film speed' hypothesis, is brew an XTOL clone using potassium sulfite instead of sodium sulfite. That way, you'll only have some sodium present from the metaborate, and if you're feeling particularly feisty, you might replace the small amount of sodium carbonate with potassium carbonate for good measure. Test this mixture back-to-back with the same formula with sodium ions and see what you get.
I don't think there's going to be a difference, so I personally won't spend time testing it. But if you do, I'm sure many of us would be very interested to hear the results.
Think about it - if raising film speed in a meaningful way would have been as easy as replacing some sodium salts with the potassium species, we would see the latter being used in virtually all developers, since they would outperform the 'old-fashioned' sodium-chemistry based soups. Case in point: official XTOL! However, having looked at many developer formulas, I only see the potassium species being used if solubility is a concern.