Moonknight wrote: And I haven't seen a Griffon in real life, it is half lion, i'm sure he can run pretty well
I think you are confusing battle movement with turn movement.
Sure a Gryffon runs fast and so does a horse. Horses are tremendous sprinters over short distances (1 mile or so). This obviously gives Cavalry/Gryphons certain advantages in combat reflected by their combat strengths. But it doesn't say anything about marching over long distances where horses must walk because they aren't physically designed to trot for hours on end (a human can beat a horse in a marathon since ridden horses tend to be near their maximum trot distance around 15 miles or so and slow dramatically after that).
Distances moved in a Warbarons turn would be on the order of days/weeks/bi-weeks/months depending on how long a time frame you envision a turn length to be (certainly it's more than a couple of hours). So we are talking about marching over long distances. So being able to run fast for a mile isn't any indication of how far you can travel in a period of days/weeks or what your most effective means of travel is. A horses primary advantage in those time frames are it's carrying capacity since 1 horse can carry a rider and 100 lbs of gear at a steady 2 mile/hr pace on open ground for several hours where a human certainly can't carry that same 100 lbs of gear for the same length of time. That's why cavalry moves further than infantry in real life and in Warbarons.
Then factor in terrain which greatly affects movement distances because where you might be able to make 2 miles/hr in open ground you might barely make 1/2 mile in a swamp slogging through water/around water etc or 3/4 of a mile in heavy forest ducking under branches/over fallen logs etc. But fliers don't suffer any of these issues. They simply fly at whatever pace they can move for as long as they are physically able to fly. It doesn't matter whether it's road, forest, fields, swamp, hills, desert, snow etc underneath them.
The only argument for giving fliers 1 movement point cost is to say some other unit is carrying them. There is just nothing to suggest that when Dwarves lead a stack in the hills they are carrying all the other units in some manner. The game already has a unit that carries other units in a certain terrain. It's called a ship and it has clear rules to indicate this whereby units get boat movement to signify they are being carried so that all units move the exact same distance. If Dwarves were carrying units in hills then they should all be getting Dwarf movement of 8 a turn.
KGB