My bathroom faucet is loose on the countertop. It wobbles and rotates when lifting and turning on the water.
Underneath it looks like the following pictures. (It's above and behind some drywall, so most of the pictures are using an endoscope; sorry about the low resolution.)
The inset-hex bolt here is the only obvious thing I could tighten, but it appears to just be holding the two rings together.

The threaded rods are clearly what I should be tightening, but I cannot see how to tighten them from underneath. (This photo looks like the large threaded rod might have spiderwebs filling a hex hole on the end; I later went back and scraped the end of the rod to find that it is solid and flat.)

Sticking the endoscope up the hole does not produce useful (to me) information:

Update: the answer by @Ecnerwal may be correct: I am now in the process of figuring out how to disassemble this (I find) Brizo faucet. I've popped out the hot/cold indicator under the handle…
…to reveal a hole with a 3mm inset hex set screw:

Loosening that allows me to lift off the faucet top…to show nothing interesting:

However, I can then unscrew the ring that was under the cap, to reveal a large brass nut:
Now I need to go to a hardware store to find something to loosen this nut, as none of my crescent wrenches are large enough.
Update 2: I now own a honking big crescent wrench, but did not find what I was looking for. Removing the brass nut gives access to the cartridge for the faucet, but nothing related to affixing it to the counter.








