Why not-for-profit?
Yes, “for profit” as far as with whom any government exploration program works with. For instance, a “for profit” group may have a “launch vehicle” they will sell, rent, lease or charge fees-for-use of, that the government non-profit exploration outfit sees as better and more efficient than “building a better mousetrap themselves. And that same “for profit” outfit has plans to use that same launch vehicle for totally private sector uses as well. I say fine; the government exploration outfit does not have build a better mousetrap for everything, if something the private sector is already doing can get the job done.
For certain things the military has been doing this sort of things for decades. For instance the military does not often use its own military transport craft for moving troops from and to overseas assignments. They often use commercial charter flights for that, and sometimes even just purchase (or have vouchers for) a seat or seats on commercial flights. I can mention other ways but you get the idea.
My point is there is always going to be the two - government sponsored fundamental, basic, discovery and exploration, and as the knowledge gained from that is broadened there is going to commercial use/exploitation of, and further broadening of that knowledge. But, unlike the normal course of NASA has been, the government does not always have to “do it (their part of exploration) inventing everything themselves or only using what the government is party to producing. Any government project should use what it can from what the commercial, for profit world, already produces, or is willing to produce and share, sell or rent to the government.