Yes, this is correct. What parent is describing is generally referred to as bang-bang control [1].
If you are comparing electric capacitances of electric circuits vs the thermal capacitance of a macroscopic object, 1 Hz might be a high enough frequency for doing pwm.
What "PWM" doesn't define is the fundamental frequency. It could be 0.1 Hz or 10 MHz. Just because the fundamental frequency is slow doesn't make it not PWM.
Which leads to the question : which ones do not have a whine? Does the breville? Or which? It’s not something any reviews I’ve seen talk about
You may want to check out those that apparently can handle non-magnetic cookware; those apparently run on higher frequencies to make up for the weaker magnetic effect.