I don't understand why they can't understand.
Mainly because you're wrong or pretend you don't understand what you see.
Check this out:
H1 = 2 m
H2= 1100 m
Maximum horizon distance = 123 km (H2 seen well above the horizon from 125 km away, but according to the formula it should already be below it, if the distance is bigger than 123 km)
In fact, you can still see the 900 m mark of Mt Kvira from 125 km away above the horizon, and it should be well below it when observed from 2 m height.
H1=2 m
H2=900 m
Maximum horizon distance = 112 km
Now if you still don't understand that what you see in the photo simply doesn't match the calculated horizon distance, I can't help you out ...If you could explain why there are constant discrepancies in what the formula produces and the reality, I would appreciate it. These are discrepancies over small distances, but they add up and over a distance of 1000 km the discrepancy may be significant. Do we not know the correct Earth's radius? Why exactly is there a discrepancy all the time?

Horizon distance calculator used:
http://members.home.nl/7seas/radcalc.htmAlso, you might have noticed that the formula for calculating horizon distance doesn't use a sphere, but a circle. I guess it doesn't matter that a circle is flat.