Stamets had a computer rigged to his spore drive originally. He then got a better one from Straal. Neither sufficed, but it was an issue of them woefully lacking in capacity, as in quantity. Any pocket appliance from the 32nd century would probably meet the capacity requirement.
Then again, it's quite possible that all of Stamets' and Straal's machinery is just them cargo-culting through unknown territory, and the tardigrade DNA is absolutely vital but nothing else is. None of our heroes wish to do the illegal DNA transfer thing again, on anybody. And while Admiral Vance might have different ideas, he's hostage to the ideas of the heroes here. So it's just that dark matter project of Tilly's for the time being.
Timo Saloniemi