He gain wealth by having wealth. The opposite is true too... you lose wealth by not having wealth.

Similarly, people who don't inherit money can't spend it, and for the most part also don't accumulate wealth!

Well that's the very nature of ponzinomics. How would you preserve social class otherwise? This is all working as intended.

I don't think this is completely true as credit cards/bad loans can be a great way to not inherit money, still spend it like you have it, and stay in a very deep financial hole.