You're sort of subtly changing the argument to a utilitarian one, about whether allowing the status quo is good from a systemic perspective. This is a different argument about whether or not the current circumstances are justified, or what might be better.
These sorts of discussions also always seem to skim over the surface in many ways. For example, you make statements like this -- "an entrepreneur who gets rich by reducing waste and improving productivity by harnessing technology" -- as if the reasons someone got rich are by reducing waste and improving productivity, in a way that is clearly demonstrable, when the validity of this assumption is the very thing in question. There's a circularity to these kinds of assumptions that is of the form Person A is rich by virtue of their position at X, which has been associated with an increase in efficiency; therefore Person A caused the increase in efficiency at X, and therefore deserve to be rich. The problem with this argument is that not only is the "do they deserve such wealth given the other assumptions?" complex, it's also the case that the "did they cause these desirable things" and "did they alone cause these things?" is in question.
I agree inequality isn't necessarily a problem in itself. What is a problem is inequity, or lack of correspondence between income and "true merit" in a idealized sense (including one with true competition). My sense is that this is the real argument: is it fair that someone like Bezos has the wealth he does, even as one of his workers is struggling to make ends meet? (Consider what would happen if all Amazon workers left their positions simultaneously and permanently, and could not be replaced. Is Bezos responsible for Amazon's operations?) The inequality per se is one level of argument, but the real argument is something more like "is Amazon a good or bad thing? Should Bezos as an individual deserve the credit for whatever net goodness Amazon has accrued? Is it the case that whatever credit he does deserve, do to his actions per se, or the circumstances he found himself in?"
I suspect that in a fair world, incomes would be much less disparate, even globally, and there would be much more movement up and down, and back again. There's too much idolizing of the individual, as a static unchanging thing, one way or another. I think a lot of societal ills stem from this sort of perniciousness, including "cancel culture" and many other things: the fruit you see beneath the tree is due to that tree, and will never change one way or another, and cannot be changed.