0.5 mm2 (the smallest reasonable size cable ) feeding a 9W led light, what voltage drop are you expectng over 10m?
the IEE tables say 0.5v
I dont think you would wire up a ring main for 12V
1/2 a volt - doesn't sound a lot does it ?
I'll put that in perspective. I put in some LED strip lights at work (the peel and stick flexible strip type), which has multiple sections, each with 3xLED chips plus a resistor. While playing, I determined that the voltage required to turn the LEDs on "at all" was something like 7V. So that means (neglecting the increase of forward voltage with current) something like 5V across the resistor.
1/2 a volt is 10% of 5V. In practice, the forward voltage of the 3 LEDs is more than 7V when fully lit (so less than 5V across the resistor).
So your 1/2 a volt drop represents more than a 10% drop in LED brightness.
And then someone switches on a light in the next room, so double the volt drop in at least part of your run ...
It can be dealt with. You'd want to use regulated LEDs and start with a higher voltage, or use "proper" drivers.
If the complete assembly (LED + driver) is well designed, it will drive the LED in current control mode and unless you drop below it's minimum supply voltage then the LED brightness will be constant. However, "proper" drivers soon push the cost up - and further restrict your choice of fittings.
At the cheaper end of options, many LEDs (whether packages or "sticky strips") include (I assume) a low drop out voltage regulator. Above a set voltage, the regulator takes over and limits voltage to the LED/resistor string. Below that, the output will be voltage dependent.
Of course, while you are charging, your batteries will be up at 13.something volts. Depending on capacity, weather, amount of use, etc, then it will drop somewhat lower during use.
Again, nothing that can't be dealt with - it just needs careful consideration up front and selection of the right kit. Whether the cost is justifiable is another matter - only you can decide that.
Unless you really expect to be living there for "a long time", then I'd suggest at least wiring the 12V circuit to the same standards as you would if using 240V AC. That way, it would be much easier to swap out all the lights and convert to something saleable.