there was discussions here
on very high impedance, even no connections to anything you could slowly charge the probes inputs etc ... and could discharge slowly .....
for sure this behaviour is not on 10 Megs input impedance
you don't need to go on the high impedance if you measures resistances under 100Meg, and remove the auto impedance mode
for me on 4 wires mode you are more precise for ohms
for voltages i never go in high impedance, don't need to at 6.5 digits on a 34410a i have ?
https://engineering.purdue.edu/~aae520/hp34401manual.pdf is that manual you talk ?
to check references voltages stability, you do it on longer acquisition times, play with nplc measurements settings you'll see, you could even grab the measurements into a graph ....
chapter 7
Low-Level Measurement Errors
When measuring ac voltages less than 100 mV, be aware that these
measurements are especially susceptible to errors introduced by
extraneous noise sources. An exposed test lead will act as an antenna
and a properly functioning multimeter will measure the signals
received. The entire measurement path, including the power line, act as
a loop antenna. Circulating currents in the loop will create error
voltages across any impedances in series with the multimeter’s input.
For this reason, you should apply low-level ac voltages to the
multimeter through shielded cables. You should connect the shield to
the input LO terminal.
....
A high-impedance source is
more susceptible to noise pickup than a low-impedance source.