I looked into the Sense feature. Page 2-20 of the user manual covers the behavior of the various combinations of Ratio and Sense In. Whether you have SENSE IN enabled or disabled with RATIO being enabled is basically used to control how the Range buttons work. Do they control the main Input range or the Sense input range. (RA vs. RS on the display.)
Of course enabling SENSE IN by itself simply allows you to use the 100mV, 1V, and 10V ranges for DCV. I did try this out and was surprised to find that I can use this as a crude work-around for my issue. The meter is perfection on the 10V range using this method, AND also even if the Input Hi and Lo are directly bridged to the Sense Hi/Lo. So whatever is impacting the 10V range using Input Hi/Lo is not in-circuit when using the Sense terminals (and to re-iterate, even with the Input Hi/Lo bridged to Sense Hi/Lo). However, when Ratio is enabled and the 10V range is selected for the Input, the ratio reading is still way off.
Next I looked closely at the "Analog signal switching states" and I do not see any combination of on/off that would ONLY impact the 10V range, even for a single JFET.
I did run a heat test by placing the tip of a soldering iron next to each JFET and got really nothing out of any of the JFETs, except Q105, which doubled the leakage to about -700nA over a few seconds. The state table shows Q105 on for 100mV and 1V and off for 10/100/1000V. The big difference I see between 10V and 100/1000V is >1G Ohm input vs. 10M Ohm. But the math doesn't quite line up with what I would expect to see by simply changing the input impedance. Also, Q105 is OFF when using the Sense inputs too and they are not affected.
For the next step I might go ahead and try swapping Q105 with another JFET to see what that does unless there are some better ideas...