I've never put lithium batteries on an S+ MPU - these use an alkaline cell battery.
I do not know what would happen if you used lithium batteries neither do I recall in any documentation whether or not if regular batteries are REQUIRED?
May I add that it's very well possible lithium batteries may not have been in existence at the time S+'s were manufactured?
I'd have to Google that....lol
However, I DO like your idea of using two batteries in parallel although it's not really needed.
An S+ is so easy to set up again after a battery change and it's kind of like you have a brand new car!
But yeah... get it, some guys don't like to lose their accounting data accumulated...
I've had MPU's sitting on shelf for 20 years and when installed into a machine - they're retained the accounting data stored on the memory chip.
However, even with that said, I've also had a few batteries under 2.85 Vdc after only 6-8 months with the machine being on 4/7....so that doesn't make much sense does it?