Trust me, the coolboxes draw much much more than compressor fridges. There is a reason they are £350 + and coolboxes are £35
I have seen numerous customers who have come to me with a dead battery and a coolbox. A normal coolbox (4 amp continuous - they never have a thermostat) will flatten an 85Amp hour battery in about 16 hours at the most. With dual leisure batteries, say 220Ah in total, I'd expect around 2.5 days ish.
Most coolboxes don't come with a dial. Most coolboxes come with an on/off switch.
You can't "freeze everything" in a coolbox unless the ambient temperature outside is less than 17 degrees, because that's the max they can lower the internal temperature. What does happen is the Peltier heat exchanger in the lid starts to form ice (frost up) when left running for too long, and that will freeze items that are touching it.
When these coolboxes are running in the summer they have to work 100% of the time to reach their specified temperature drop of 17 degrees (or approx half the time for 11 degrees - at a guess)
It's great that your coolbox works for you, but a fridge it is not. Your coolbox has the (unusual) feature of an eco mode., where once you turn the dial down, it will take the temperature inside 8 to 11 degrees cooler than outside. If you turn it to "max" it will take it 17 degrees lower than outside, and draw 4 amps continuous. They don't specify what power it uses on eco mode, but it would be fair to assume somewhere a bit over half, lets say 2.5 amps. (this is the spec for the Lidl Rocktrail coolbox)
http://www.lidl-service.com/static/17355662/70350_DE.pdf
If you are happy with moderately cooler items then this is a great way to save money. If you want properly chilled items, and perhaps ice in the ice tray, then you need a compressor fridge. I really have lost count of how many customers I've spoken to who've killed their leisure battery by using a cool box.
They certainly have their applications - it works for you clearly, and I used to use one camping. I'd put blue plastic ice blocks from the camp site freezer in each morning to give it a head start, then run it off my car battery, with a 40w solar panel to help during the day, then turn it off at night (camping in france). The one occasion I forgot to turn it off I hade to use the solar to charge the car battery for an hour to give it enough juice to start... (this would have been a small 75Ah battery in an MX5 - campinng in France)
You can also happily run a TV off leisure batteries with solar.
I certainly would not recommend charging tablets from the starter battery unless you are running the engine every few days. It's a very easy way to get caught out. Tablets use 2 to 3.5 amps for a good few hours.