If the only way to get the navigation system to work is by using tardigrade DNA spliced into a human....no other race is going to be able to use this engine design.
Even if you manage to steal everything technical about the systems, you still need the fungus that makes the spores....and a tardigrade to navigate the network...and after than, a human to augment when the tardigrade fails. And it is unclear if an unwilling human can pilot the ship correctly, or if it will just jump you into the nearest star to end the pain....or jump you into a different universe when it freaks out.
Otherwise you have an expensive moon jumper system. And while that might have some tactical uses....it likely takes up too much space on a ship to be worth having in place of more weapons, troops, and a larger warp drive.
Well, they need a Tardigrade (or human) because they don't have enough computing power. Something the super advanced 24th century computers should easily handle.
The one thing that really isn't recreatable are the fungi spores. Which DIS grows in a big hall. (They never told us were they got them from, am I right?) It generally feels like we are missing a lot of crucial exposition on the spore drive.