Just for clarity, you don't get more power from Lithium than you do from LA.
If your Lithium batteries were the same capacity as your LA batteries they'd have also been discharged after 4 days also.
I understand that LA batteries 'age' and lose capacity over time mainly caused by a poor charging regime, particularly letting the battery stand idle when not fully charged causing internal sulfation and this leads to a 100Ah battery quickly becoming somewhat less and often an awful lot less but just to avoid confusion and false information.
I've seen so many posts over the years on here and other forums from campers thinking that if they swap out their LA battery for a lithium they'll be able to run loads of 240v items from an inverter and have loads of power available and that's simply NOT the case.
A 100 Ah LA battery will give you 100AH and so will a lithium of the same capacity.
That's not really true. You can only run your LA batteries down to about 50% , and if you do that continuously they won't last very long. My lithiums can run down completely, but mine are set to only run down to 20%. Also a lithium battery will charge up much faster than an LA battery as more efficient .