I didn't listen to anything Psaki said, just commenting on what has been said/quoted above.
Based on what I can find in public data, there are currently 28,876 permits across the lower-48. Without taking a much deeper dive into the data, I'm not sure how many fall on federal/BLM, BIA, state or fee leases, but I think it falls in the "reasonable" category if she was talking about ~9,000 permits falling on federal/BLM acreage.
Now, let's talk about a state like Wyoming, which represents ~7,000 of the total permits, as an example of what the "permits" actually mean for some of these states. Full disclosure that Wyoming's permitting process has changed (and is continuing to evolve), but the original permitting process (which a lot of the existing permits were filed under) essentially provided the filer of the permit the exclusive rights to operate the well.
Not to name any companies in particular (although you could probably take a guess at a few of them), but large companies obviously used this to their advantage and would apply for permits in formations that may show potential but that they had no plans to actually drill any time in the immediate future. At the end of the day, these companies were trying to protect themselves from others coming in and drilling a well in a prospective interval (if that company got a permit, they had the right to drill). And yet, this heavily skewed the permit count of the state; there are numerous examples of a section with ~16 permits in the Niobrara, 8 in the Turner/Frontier, 8 in the Mowry, 4 in the Parkman, etc., few of which had any intent of being drilled anytime in the near future or at the spacing implied by the permits. Again, they were filed so no one else came in and drilled under them or stole operator rights.
Permitting varies widely from state to state and on lease type (fee/state/federal) and I am no expert. I just wanted to provide one example of why the total permits number may be accurate but isn't necessarily representative of any intent to drill.
Another example of why a permit count can be misleading is, if the permit process is cheap, some operators use it to guise their intentional plans (let's permit the crap out of several formations in an area to try to hide what our actual intentions are and what we are actually looking to test). Similarly, if a company is looking to divest their assets, they may look to permit some wells to present/solidify a story that their booked opportunities are economically sound and if they don't get the value they are "worth" that they are ready to drill those permits.
Just my two cents on the topic but, again, I didn't listen to any of the comments she made.