It would help the situation to know more why someone wants a particular piece of technology. With the Genesis Device, we know that Dr. Carol Marcus' team was attempting to address the "cosmic problems of population and food supply". With the Progenitors, the representative explained their purpose behind what they did:
You're wondering who we are, why we have done this, how it has come that I stand before you, the image of a being from so long ago. Life evolved on my planet before all others in this part of the galaxy. We left our world, explored the stars, and found none like ourselves. Our civilization thrived for ages, but what is the life of one race, compared to the vast stretches of cosmic time? We knew that one day we would be gone, that nothing of us would survive. So, we left you. Our scientists seeded the primordial oceans of many worlds, where life was in its infancy. The seed codes directed your evolution toward a physical form resembling ours. This body you see before you, which is, of course, shaped as yours is shaped, for you are the end result. The seed codes also contained this message, which we scattered in fragments on many different worlds. It was our hope that you would have to come together in fellowship and companionship to hear this message. And if you can see and hear me, our hope has been fulfilled. You are a monument, not to our greatness, but to our existence. That was our wish, that you too would know life, and would keep alive our memory. There is something of us in each of you, and so, something of you in each other. Remember us.
So, why do Moll and L'ak want this technology, or what do their employers want with this technology? Frankly, none of what Stamets says seems beyond the technology of the 32nd century. I am pretty sure that if we went down the list of what the Progenitors could do, or what Stamets believed that they could do, that we could find an example of another civilization or even the Federation doing in the 900 or so episodes or films of the franchise.
I am developing a concern about this season. Last night, I watched "Bloodlines" and a lot of it seemed familiar as many of its elements were redone in the third season of Picard. Picard has a relationship with
* a woman (Miranda Vigo; Beverly Crusher)
* that woman has a child (Jason Vigo, Jack Crusher)
* the relationship with Picard ends and the mother doesn't include Picard in the raising of the son (in Bloodlines, it makes sense - Jason Vigo is not the son of Picard)
* question of paternity
* son has a criminal background
* son is threatened by an external agency and is used by external agency as part of a larger revenge scheme (the scope is larger in Picard, the whole Federation)
* external threat is resolved
* the relationship between Picard and the son ends well (even though Jason Vigo was not Picard's son, they did depart from each other with a greater respect for the other)
Older Trek did this in one episode; it took new Trek 10 episodes to do the same.
I am concerned that this is what this season of Discovery will become. A 10-episode season which could have been resolved in one hour.