@nctnico you're right! Turns out I was accidentally measuring the inductance / impedance of a shared ground path. I messed up the wiring of one of the differential inputs. Measurements are starting to make a lot more sense now I've got that sorted!
Here's the impedance plot of a 3.3V LDO, both when on and off:
I'm getting 60mΩ at 1MHz there - 10nH - I'd say that makes sense based on how I wired it.
Here's one soldered directly over an 0805, that also has 200uF of bulk capacitance on the same net:
Giving 30mΩ at 10MHz - 500pH - sounds quite appropriate for an 0805.
Glad I got that sorted, thanks for the push nctnico. I can't really use it as a scope anymore with all the modifications, but am pretty happy with the little device it has become.
I'm still getting back to the NanoVNA-H4, to dive more into the higher frequencies, but as an addition instead of a replacement now.