Truly it's a nuanced topic and you cannot say that across the board NPs cost more than physicians. I have no doubt that NPs and PAs can be cost saving when employed appropriately.
An issue with your first study is that some NP care was attributed to physicians (as a result of NPs billing under a physicians NPI), hence decision making that was done by an NP is being analyzed as if it was done by a physician. In the study I linked that wasn't have been an issue as they could see which patients were on which providers panel.
The study you linked on PAs is interesting, although it's an international one and ~24% of included studies were of PAs who did only one procedure (not really applicable to the discussion here). If you bring a PA into your practice to do only one procedure it's hard to envision that being much of an issue.
The NPR article itself links to a study that shows NPs cost more than physicians (in the emergency department), so it's not just one random study that shows they can cost more.
I think we could both post studies back and forth all day, maybe it makes more sense to look at things from first principles. If your ED visit is billed the same whether you are seen by an MD or NP, how would an NP go about saving you money? I hope that we can agree they will have less medical knowledge, so I don't see how they could order fewer studies / tests safely.