Thank you, I tried it and wow - it closed. I really expected that it would not. I then tried to fire it again immediately with the lens still on, and it didn't work. Sounds like the mirror moves a little (doesn't fully "clunk"), and I can no longer see anything through the viewfinder.
After it misfires like this, I expect that once I remove the lens it will automatically complete its cycle, but it doesn't with these two lenses. It is still cocked and will fire normally with the lens removed if I go ahead and press the shutter.
I just tried another third party lens (a cheap AF Tamron), and it fires fine. And then I tried a newer Nikon 50mm AFD, and it doesn't fire. But! - With the 50mm AF, it automatically completes its cycle when I remove the lens, without me having to press the shutter release. So weird. All these lenses work fine on my other Nikons (FMs, FEs, etc.)
I guess I need to send it in to a professional...