...I am also looking at replacing the Tesla 12v 8 ah battery with a Lithium alternative...I have been told that a minor alteration would have to be done to the bracket that holds the battery as the Lithium battery has a slightly smaller footprint...although this "Smart" brand Lithium battery costs about twice as much as the Lead one, it should last far longer (they advertise 10x more cycle charges than Lead batteries), and weighs significantly less (under 2 lbs.)
I've heard you can't use those unless you live in a more temperate climate than you and I. You can't charge a Lithium battery if it's below 0C. In theory the "smart" brain will prevent that. The result is you could easily go for weeks without your 12v ever getting charged.