It's been another 2 years since my last post and 3 years since the above quote so time for an update. I'm happy to report that the original three Energizer lithium batteries I installed in my STTNG in 2015 are still in the machine and going strong holding settings and scores; additionally, none of the lithium batteries in any device I own (which is every device that takes 9v, AA, or AAA batteries).
My STTNG is turned only turned on a dozen times a year or so at most these days and these batteries continue to hold up; the date is wildly inaccurate, but the time holds within an acceptable range. I assume the ASIC that controls both date and time was not designed to update the date when the machine is off for months at a time.
I don't anticipate these batteries lasting another 3 years which will put them at 10 years+ ... but who knows. I do plan to update this thread when I turn on the machine and get the dreaded Reset to Factory Defaults message.