There’s way too many variables that would go into that kind of study, but go watch Will Prowse on YouTube- he breaks it down pretty well.
Lithium doesn’t handle high heat or freezing temperatures very well, in fact they should shut down in freezing temps... but they’re still more efficient than lead batteries power-wise. Traditional batteries are much more inefficient, have less overall capacity on rating, and last 1/2 as long if you’re lucky. But lead will operate above and below the operational temperature limits of most lithium cells, even if only at a 40% efficiency. Lead acid batteries are generally considered dead after 500 cycles, but lithium generally only falls to 80% capacity after 1000-2000 cycles, so you can continue using them for 10+ years. Because of all the factors, Lithium is usually overall cheaper, but that’s assuming you treat both types with kid gloves in comparison.
I use both, and they both have their purposes. For instance, my garage is off grid, and my air compressor runs on an SLA built system because it pulls 16 amps for 10 minutes each time it kicks on. I usually use it in the day time, and it was over 100* today in there. It’s easy to recoup on my panels, and that temperature, while inefficient, won’t do as much damage to SLA as it would my lithium packs. At night, either type will handle the temps, but I run lights and a fan off my lithium packs because it can hold much more power in 1/5 the weight, and I can move it around when I’m working a project.
It’s not a competition. As with all things, buy within your means.
You can read up more here:
https://batteryuniversity.com/learn/article/discharging_at_high_and_low_temperatures