Don't be sorry because you're not wrong and dude was just being a dick for no reason. Also a PWM signal is not a complex concept and it certainly doesn't require any degree at all to understand.
Simply put: you have an additional pin carrying the PWM signal, which is a simple squarewave. How much of that wave is high during a period is called the duty cycle and regulates the fan speed. Eg. if for 75% of the period the signal is high, then the duty cycle is 75%.
So, while the phrase "they spin what they are ordered to do by the PWM" is not particularly well worded, it's also technically not wrong.
I really wish people would share their knowledge, instead of gatekeeping it to feel superior.