Starter batteries are intended for high performance ( fast charge / discharge rates) for short time periods.
RV and Marine batteries are designed for more moderate performance over longer time periods.
While there is overlap - using either one for the wrong application will shorten the lifetime, sometimes quite a bit.
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So let's look at two "use concepts".
1) The refrigerator will only be powered when the truck is running:
- In that case, just hook an inverter up to the starter batteries with a relay that turns the inverter on / off with the engine running.
- It is important that the inverter turns off when the engine goes off, as they have a standby power draw even if no power is being used, usually in the 15 - 50 watt range.
2) The refrigerator will be powered when traveling and you want it to stay on:
- In this case, the truck power system is used to charge up a separate / auxiliary power system for use by the refrigerator
- A battery to battery charger or inverter to 120 vac charger are used to move power from the truck to the auxiliary power system
The auxiliary power system has it's own Marine or LiFe batteries and inverter to keep the refrigerator running ( like a modern RV )
On conversion vans, this is the primary motivation for putting solar panels on top of them, to keep the beer cold.
You can buy canned "portable power systems" , DIY, or there are marine / mobile electrical system builders all over the country - really all over the world. I do it and so do many other people. It isn't complicated, but there are a lot of small details and the tools are expensive. Just like tires, wheels, and suspensions, there are a range of components and price points.
The canned "portable power systems" are the lowest cost initial purchase path. Similar to a cell phone, they don't work when it is below freezing and mostly cannot be repaired or have the battery replaced.
The ones built by marine / mobile electrical system builders usually use marine grade components, relatively standardized methods and anyone can edit / repair when someone else built, even in another country. They "tend" to be more vibration resistant.
Any of these paths work, it is just a matter of choosing what makes sense for you.