@lxskllr what saw are you using? I looked back a few posts but didn't readily see it shown.
I've not had a 6Ah Forge overheat with the Milwaukee 2826. I have had an 8Ah Forge overheat twice, both times they were down to one bar. I haven't had a 12Ah Forge overheat, but I use them the least. Power wise I didn't notice an appreciable difference in power output using a 6Ah Forge or 12Ah Forge in the 2826.
My personal take is I don't worry about battery charge cycle optimization towards battery life. They all get recharged on a dual bay super charger and hell with it. In my biggest day of running the 2826 I went through 38 or 44Ah of battery getting $7500 of trees on the ground in ~4 hours. For sake of math that's 7 cycles on a 6Ah battery (it was a mix of 6, 8, and 12Ah Forge batteries). The batteries have a 3 year warranty, but let's say they have a practical life of 500 cycles (who knows) and warranty replacement isn't a thing. A 6Ah Forge is around $150. $150/500 cycles is $.30 per cycle or $2.10 of battery life to do $7500 in tree work. Another way of looking at it, the $150 battery could do half a million dollars of tree work using that job's numbers.
It might be worth keeping track of which batteries we use to spread the wear out, maybe not. A clear answer and method hasn't came to mind yet.
After just typing I only use the dual bay Super Charger, I just told my guy I want a 6 pack Rapid Charger 😂. We currently keep 9 batteries in the truck (3x 6, 8, and 12Ah Forge batteries); I'll be adding a battery and inverter to keep the batteries charged on the truck... probably with the 6 pack charger.
It seems the dual battery Milwaukee will weigh the same as a 500i with a 20" bar. I plan on getting one to make it easier on my groundy doing infrequent cutting without having to start the ported 500. It seems silly you can't get it tool only from Milwaukee, but not the end of the world. I'm interested to feel its weight compared to the 500, it might be preferred for blocking down in the lift.