It is controversial, because the assumption of exponential growth is flawed. For one, your model underfits population growth, it's a logistic curve and not a purely exponential one. Wealthier countries on average produce less children than poorer countries, and assuming no global shakeup occurs, most will end up in the crisis like the one Japan is beginning to see with a lot of older people and not enough younger people to support them. We can talk about what happens after that cliff, but how can you have exponential usage in natural resources when the population _doesn't even exist_?

Not to mention human ingenuity when people get desperate. WWI / WWII saw Germany produce coffee from acorns, oil from coal, and Fanta from vegetable scraps, ensuring a rise in industrial production during 1944 under arduous circumstances. We don't operate at 100% efficiency and we can most definitely increase that number by double digit, maybe even triple digit percentages. Take meat, a horrible source of energy inefficiency. Lab grown meats, meat substitutes grown from vertical farms, even eating different kinds of meats (cricket powder protein bars aren't bad and have a more or less 1:1 energy input:output ratio) result in increased efficiency savings. This is a matter of economics.

Anti-growth simply isn't feasible from a domestic or foreign policy standpoint. There is no way you will convince any significant politician, and by extension his/her voting bloc, that there must be an end to growth. You can't religion or dictator your way out of this either, since it goes against the very essence of human nature.