If r (the rate of return on capital) is less than g (the growth in output) that means that people have no incentive to build wealth or become more intelligent to deploy that capital more profitably. If I'm never going to make more than the growth in output, why bother with capital?
The logical conclusion to that would be that everyone wants to be an employee and nobody wants to be an employer.
If I can grow my wealth more quickly than the nations output, I'm grabbing a bigger slice of the pie. The hope with capitalism is that I'm grabbing that pie because I've earned it and the market hopes I'll be able to steward that wealth.
So yeah, capitalism may be inherently inclined to wealth inequality because some people outperform. But do you really want it another way?
There certainly is wealth inequality in the world, but it isn't actionable to blame it on r > g. It's more effective to look at things on a micro basis. Does this person have a child that is prohibiting them from saving? Why is the person being excluded from jobs? Do they have a proper education?