Look, $30k/week does sound ridiculous to me too, but Patrick doesn't strike me as a bullshitter either. He's just a great combination of programmer, businessman and marketer. As far as I remember, he never claimed to have a continuous stream of $30k/week projects lined up, those are words you're putting in his mouth to make it appear more embellished than it actually is.
The very terminology you use—"saturating" one's freelance schedule—is a mindset I've been in before, and I now think is dangerous. If you are overworked and stressed about money and billable hours, there is no free time or headspace to move up the food chain. Even worse, the quality of your work can slip due to minor hiccups like scope creep, unforeseen rabbit holes, or just getting sick for a few days; then you are undermining your future pitches and word-of-mouth!
Admittedly it's not easy to start charging more, you need to find the right clients, and you need to shift to a value-based billing where you take more risk on yourself. This is phenomenally difficult for anyone with expenses and wage-earner's mindset. However I wouldn't write off Patrick as being too privileged, lucky, or any other excuse—those things may be true, but that doesn't mean there aren't lessons that can be applied to people grinding it out at a lower level.