It's not for nothing that "properly qualified" electricians (which I am not) can take several years to pass all their C&G exams.
I understand where you're coming from, but in reality I reckon most electricians doing domestic work never do a single calculation themselves.
They rely on using the same six types of cable (1.0 / 1.5 / 2.5 / 4.0 / 6.0 / 10mm sq T&E) and then the same few sizes of MCB (6A / 10A /16A /32A /40A / maybe 50A) and just know for each of those how far they can go when surface-clipped, in a wall or under insulation. They've memorised about 50 different possible combinations (in theory there are 108 combinations - 6 x 6 x 3 - but nobody is going to use a 50A MCB with anything less than 10mmsq cable), and then just select from those. In reality, this could be put as a 1-page summary on a sheet of A5, but the electricians remember it because it's convenient to do so.
In my experience (3 re-wires in the last decade... different houses!), electricians doing domestic work have to "phone a friend" or "look it up" when they get outside these normal situations... they're not actually doing the calculations. I haven't had a re-wire in the last couple of years since iphones became so commonplace, but I suspect that most electricians with an iphone have a cable calculator website on their list of favourites e.g.
http://www.tlc-direct.co.uk/Technical/Charts/VoltageDrop.htmlThe situation for non-domestic work is probably different: because of the wider range of scenarios that electricians may come across, they're probably less able to just refer to a quick table (mental or otherwise)
I definitely agree that the regs are complex and complying with them takes training and appropriate qualifications are important, but I don't think cable selection is one of the particularly complex bits on a day-to-day basis.