Sometimes when dealing with basics of electricity, it's useful to consider an analogy with water.
Voltage is often considered pressure. Not particularly applicable in this, but included for completeness.
Amperage can be equated to volume of flow. Large diameter pipes with a lot of water moving through would be a high current level. In your example, it's the CCA, aka cold cranking amps. Bigger numbers means more "water flowing."
Ampere-hours, or amp-hours is how much water is in the tank.
As with water, batteries providing power have to have sufficient current (water flow) backed by sufficient duration (water in the tank) in the form of amp-hours.
There's little value in buying a high current battery if you don't need to pull 2000 amperes during starting. High current and small capacity won't help in a storage situation, as some of the capacity will drain away sitting idle. Lithium based batteries have a much lower loss per unit time and will probably last longer if proper charging is managed.
Lithium based batteries should not be fully charged on a regular basis. Eighty percent is a common figure in the electric vehicle world for the maximum charge for longevity. Our Rav4EVs have a built-in limiter to 80 percent and have an override for extra range, but the manual cautions to avoid using too frequently, for the aforementioned deterioration of lifespan. Tesla vehicles also have similar limitations, including excessive use of the Supercharger.
If you aren't going to exceed the 700 ampere current draw, your expectations are realistic. You'll get longer duration from a charge with more amp hour capacity.
Cold weather is particularly detrimental to lithium based batteries. Do not charge below freezing, as it can permanently damage the battery. Expect reduced capacity directly associated with temperature drop.