Earlier quoted context omitted.
Tell me you don't understand how the ear perceives music without telling me you don't understand. Don't be pretentious man, we are tuning guitars and violins not prepping the kids for Juliard. The same as how you use hz to talk about a specific note, your ear understands hz when listening. Cents are just ratios of intervals subject to a given scale. Do you think we are so bad we are messing up A3 as being close to B5…
Mechanical strobe tuners work in Hz. Many "digital" electronic tuners are likely to be calibrated in Hz but display cents of deviation to the user. One way I look at it when tuning two A4's to match 440, cents are always a fraction of where you are at the time. So a 439 vs 440 is by definition 1 Hz off and here that's a little less than 0.25%. Once you get the beat note below 1 per second (actually not often so easy)…
I saw some charts that expressed 1hz in the A4 range a bit higher but essentially what you explained. The lower in the scale the more cents per hz but each "scale" has 1200 cents broken up evenly per semitone.
We could create a reference chart that shows the "increase" in the scale in hz which would be a logarithmic curve while the cents would be growing linearly based on an underlying logarithmic scale.
In my previous response I was being prickly with the previous responder because they came off with strong "well awkshually..." energy.
I get what they are saying but I don't think it's outlandish to speak in hz when the extra precision from cents is arguably beyond the average musically trained ear.