I ended up going the contact cleaner route, without the CRC 2-26. I just use AeroMagnolia's DP Contact Cleaner, which is an aviation product that leaves no residue, and is safe for plastic, etc.
It worked!
Of course we shall see how long it lasts, but I don't use that switch very often anyway.
If it does end up continuing to fail then I will likely just jumper it in the Front position, and disconnect the rear current terminal wire (to prevent the front and rear from being shorted together).
This little issue saved me $100 off the cost of this meter. The seller offered to take it back, or to try to fix it on their end, or to take some money off. I ended up getting it for almost $100 less than my Fluke 87V. Not bad for a 6.5 digit bench meter with 2 wire and 4 wire measurements, and a USB interface!

The 2100 may not be a high end Keithley (it is a rebrand), but for the price (list around $800, I got it for well under half that) it is actually a really nice meter.
Sure, people who use the multi-thousand dollar Keithleys on a daily basis will complain, but it is not designed to replace those units. That's like a Mercedes S-Class owner complaining about a C-Class. Or a (yuck) BMW 7-series driver complaining about a 3-series.
Some of the front panel UI is a little screwey (overly complex), but nothing difficult to get used to. The majority of functions people would use are easily accessible, typically with one or two presses. It is easy to setup for remote control via USB either with the software from Keithley-- KI-Tool, which is pretty bare bones, or via python scripting. Most meters have some quirks. Hell, I watch EVERYBODY try to measure AC current on the Fluke 87V when they really want to measure DC current. (It defaults to AC current until you press the yellow button for reasons known only to John Fluke.)