I agree with your summary, Colin, but I have to add an addendum.
I watched a couple minutes of that video, and it struck me that holy shit, people are learning Algebra from ideologues.
I thought I had sufficiently pointed it out in the Peak Oil debate, but I guess it's worth being more specific. It's the same in population growth or pandemic infection.
As the dude in the video correctly explained, the formula for exponential growth of a variable x at the growth rate r, as time t goes on is:
But here's the key point; growth rate, r, is also a variable. It can, and does change. A Sequoya seedling doubles in height every few years for a while, but eventually r decreases, and the rate of height increase slows. In other words, trees don't grow to the sky.
As oil supplies get used up, the price goes up and consumption growth slows. With social distancing, the rate of Corona virus infection slows. As infant mortality goes down, fertility goes down. China has gone from exponential population growth to negative population growth.
So yes, we have to be aware of exponential mathematics. From Calculus, we know that a small segment of a curve, such as a human lifetime compared to human history, looks like a straight line. But we can, and do, control our destiny.