Is this correct? or am I complicating matters (as always)
You're overcomplicating things
Step back and think about it.
A 10 bit ADC gives approximately 0.1% resolution (as it provides roughly 1000 values) - this is likely to greatly exceed the rest of the 'system', particularly the accuracy of the pot and even more so the accuracy of the gearing you've now mentioned, where backlash is likely to be far above 0.1%.
Anything you do maths on is going to lose resolution, which is why in my tutorial I chose a 10.23V range for the ADC, this gives you 0.01V (1omV) resolution, so works perfectly. If you changed the attenuation to read 20.46V, and multiplied the result, then you still have the same 0.1% accuracy, but the last digit can only display even numbers - which makes for a really crappy display
This applies to any scaling,
if you want to keep the full resolution, otherwise you can always lose the last digit, dropping to only 1% resolution, which is often as much (or more) than you need.