I've tested the capacity of my LiFePo4 battery using an amp-hr meter. I've got this one on my solar generator and it seems fairly accurate.
Amp-hr meter.
I like this meter better than most as it tracks amp-hrs in and out. I can check to see that the amount used jives with the amount the charger puts in. And you don't have to worry about resetting it. I tested the amp-hrs I took out to the battery voltage by running the trailer TV, lights and fridge for a weekend, while checking the battery voltage against its acceptable low value. Its a little harder with a lead acid battery since they voltage dips more under load than with a LiFePo4. I have a low voltage battery disconnect on my battery to make sure I don't ever draw the battery down too low - you'll need to be real careful to watch the voltage drop so you don't go too low and damage it.
Here's the values I looked at on my battery test:

I knew my total amp-hrs out should be 145 amp-hrs max so I drew the battery down to that level and made sure the voltage didn't go below 12.9V. I have a Victron battery meter to track everything but this gives you an idea of what values I looked at. You really only care about two values, amp-hrs discharged and final voltage.
P.S. Checking battery SOC by voltage alone is pretty inaccurate, its much better to track amp-hrs.
Bruce