The point was to factor this out by oversizing lead acid 1:4. Lead acid can live a long time but only if DoD < 25% or so, vs. lithium doing 80%+.Firstly, the lithium option will last multiple times longer than the lead acid combination.
I'm not sure this is true once you have the 4x oversizing of lead but I agree it may be a factor in some cases.Lithium also charges faster (which is important under high load shedding stages).
Regarding your use of you car battery (which is pretty clever, by the way) that's a different argument to buying. Obviously using what one had is first prize, but if you were to buy a battery for that purpose a lithium one would get you a lot further for the same price.
Even new I'm not so sure. It's a 15 W load. A new 576 Wh car battery is R 1300. Running it 2-4 hours, 5-10% DoD, I'd expect 5+ years, maybe 10. But I can also occasionally run it down 12+ hours. Even 24 hours is only 60% DoD which will not kill it dead if it's a rare thing. I'm arguing this is a useful feature of oversized lead acid. Meanwhile for LiPo today I could maybe get 13x 18650 @ 2.5 Ah = 120 Wh... I'd expect this to live 5 years too, but it couldn't ever help me out past 8 hours.

