Every fridge is going to cycle on and off. So in my case (ARB fridge) the compressor draws about 5A when running, and of course 0A when not running. In my climate and with the insulation jacket installed, the compressor runs about 20% of the time. So for an average hour the fridge consumes roughly 5A * 1h * 0.2 = 1.0Ah, which aligns fairly well with published specs. As long as the power distribution is designed for the current draw, the 5A is not a problem. It really is the Ah that matters for battery life and sizing. A group 27 lead acid battery can supply around 40 *usable* Ah, so it can run my fridge for 1.5-2 days before voltage drops to ~10.5V but YMMV.
I don't care for the ARB specs that say, for example, 0.85 A/h. Amps is an instantaneous value (like power), not an accumulated value so that doesn't make sense to me. Better to specify compressor amperage draw, duty cycle (compressor time on vs off), and corresponding Ah consumption. Even better would be to specify compressor power consumption and corresponding energy (Wh) usage, that way remove voltage (variable) from the equation. Compressor power consumption should be constant regardless of battery voltage.