Your ability to fix a broken car will depend on:
1) What and how it broke
2) Your preparation -- access to spares, tools, materials
3) Your knowledge and resourcefulness
There is a lot of critical mechanical parts on a car that are unrepairable, even at a car shop. Most of critical mechanical stuff on a car can only be fixed with a spare. Even changing your tire is just an act of using a spare. Ever broke anything within engine or transmission? Good luck fixing it with basic tools in wilderness.
When car mechanic says he's repaired something, there is good probability he means he has replaced the part that was faulty.
If you go across Africa, take spares for what is needed and tools to diagnose / repair. If you worry your computer may break, carry a spare. Carry a multimeter, some spare tools and materials to fix common electrical issues.
Electronic spares and tools do not take that much space and if you are worried about electronics there is no excuse not to take them.
People complain they can't repair electronics on a car but that's only because they never applied themselves the same way they applied to learn and fix mechanics.
My father specializes in repairing car / truck / bus etc. electronics. He uses simple tools and his experience to repair things.
He has been flown to from Poland to South Africa to fix a large crane that Volvo could not fix themselves. All with basic tools.
There is nothing inherently more difficult about fixing electronics on a car.
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As a side note, I would prefer older car to drive over Africa but not because of lack of electronics but rather because of more margins, higher clearances and resistance to wear tear.
As to repairing in the wild they are easier to repair because they are SIMPLER, and the parts are more accessible (as in easier to reach them), not because they don't have electronics.
I am not expert mechanic therefore I will have better chance repairing simple car.
I am not expert electronics engineer therefore I will have better chance repairing car with simple electronics. Does that make sense?