Billionaires do not get a tax exemption
No but their earnings are mainly in their companies, and those can hire fleets of tax attorneys and accountants to crush their tax burden.
Once the money is in stocks, it doesn't get taxed unless you draw on it, but the billionaires can use strategies like buy, borrow, die (which last I checked only really works if you're north of ~ $300M) to avoid personal taxes.
Billionaires benefit most from the largest tax exceptions. No tricky accounting needed it’s baked blatantly into the tax code. Long term capital gains are specifically lower than short term capital gains. Further gains are only taxed on sale allowing a lifetime of growth to pass to the next generation tax free.
They also operate at a scale where many tax breaks become viable. CEO owners aren’t paying themselves nominal salaries because they are actually working for free. Creating a shell company to own your 50k car isn’t useful but it’s damn well worth it if you’re buying a 50+m dollar yacht for personal use. Turning depreciation into a nominal loss offsetting capital gains etc.
Meanwhile people of lesser means get stuck with all kinds of crap like a 10% early withdrawal penalty on 401k plans.