I think the distinction the politician tried to make, was that you don't "earn" a billion dollars the same way the vast majority of people make their money. You become a billionaire by company ownership, not getting cold hard cash.
The hierarchy of wage looks something like:
1. hourly pay (how many hours you can work sets the maximum possible salary)
2. base pay + cash bonus (the cash bonus starts to increase your earning potential. Sometimes the bonus can be huge, for traders, salespeople, etc.)
3. base pay + stock options (the stock options can outsize your base pay by big margins)
4. stock ownership (almost all your wealth is tied up to the stocks)
The vast, vast majority of people are stuck at (1), and will never move to (2). Nearly all billionaires are at (4).
The average worker will work around 100k hours in their lifetime. If you started working today, with a 2% inflation rate, you'd have to start getting paid close to $6000 / hour in order to reach a billion dollars (pre-tax) in total income by the time you retire 50 years from now.
Another factor to consider, is that salaried workers can't use leverage to increase their earnings. A startup founder can find investors and raise money, which works as rocket-fuel for their company. You can practically outspend your competition. That is simply not possible for regular workers, without breaking rules (as in outsourcing your job, taking on several jobs and outsourcing those, while collecting).
You say "stuck at (1)" as if most people actually desire this kind of wealth and are trying to become entrepreneurs.
The simple truth is that many people don't want to step into that kind of intensity and uncertainty, or lack the skills to succeed in a cutthroat industry.
The idea that founders are somehow "cheating" is hilarious to me. Anyone in the developed world can easily become a founder, why don't you try it?
Even if you're "stuck" at 1, a person with a reasonably high salary can buy equity in the public stock market and start capturing exponential growth. And if they can outperform the market by even ~5% that can really add up[0]. Not to billionaire status but maybe it's okay to not be a billionaire.
[0] Big "if" obviously but so is a 15% monthly growth rate in revenue.
Add to that, if there exist individuals who have enough of the resource of highest utility, it can become a liability for society. One bad way is that they use it to suppress others, through lobbying or buying out media companies or whatever. The other is how vultures react to them, pushing up the prices whenever the billionaire individual is involved and pricing out others.