Hi Bumpy,
You might want to read the comparison paper from Victron.
One of the advantages of LI is lower voltage drop under load. Standard Lead acid batteries are rated for 20 amp-hours on a 5 amp draw. Double that and the amp-hours of capacity vanish. Get to 0.5 C and hours of capacity become minutes. This is worst with flooded and slightly better with AGM. It does happen with LI but not nearly as much.
According to the article, 0.5 C on an AGM leaves only 30% of the 20 hour rate available and just 2 hours of the 20 hours usable (i.e. staying above 50%).
AGM

LI on the other hand at 0.5 c leaves 105%, so the battery can be ten times smaller in capacity than the agm and still provide the same amount of energy (i.e. 2 hours staying above 20%).
Li

So there is some truth in the 125 = 500, especially under high loads.
So far I can only find two negatives about LI. One is the low temperature problem where they can not be charged below -20 C (-4 f), the other is price. Victron btw has no axe to grind as they sell both LI and AGM jars.
https://www.victronenergy.com/blog/2015/03/30/batteries-lithium-ion-vs-agm/