I think it’s better to think of it like this:
How do you make your money? Do you need to make a wage? Or can you let your property (land, buildings, stocks, etc.) be your income?
The real amount doesn’t matter, it’s whether you have to work to live or not.
If you have to work, you are the working class. If you don’t, you are the owner/capitalist class. But your analysis is still somewhat correct: millionaires and small business owners are closer to the working class than billionaires, it does still matter how they make it though.
Them: “Gee things are getting bad… The last time the poor were this bad off heads started rolling… How did we avoid that? Ohh yeah! Concessions! What if we SAY we want to give them concessions, and then tell the government not to? That should work!”
-The wealthy leeches, enemies of humanity