That's not my point. My point is that the 'geometric increase' for real competence or aptitude is not the same as the compounding 'merit' of a billionaire which

That's not my point. My point is that the 'geometric increase' for real competence or aptitude is not the same as the compounding 'merit' of a billionaire which may well just be some monotonic increase in the value of some company within which they have a stake. Your issue is a different one, and yes, if both of them are 'good enough' perhaps they should go through a random selection process.