A Pan, by any other name…

…still cooks food.
Having ruined one of Alice's Pans I set about to track a replacement; during which hunt (NO NOT Witch-Hunt) I discovered it's called a Sauté Pan.  I've long wondered the difference.  Having searched the difference, in my cookery Lexicon, it's another name for frying; seems NOT, there were, actually, eight differences listed.  I'll not bore you with them all, you probably know them better than I do.
BUT
One said - "Frying requires deeper pan than sautéing."
Observe:- 
On the left; what purports to be a Sauté pan.  So sayeth the vendors.
In the centre & right; what I've spent a lifetime calling Frying Pans.  Amendment - the one on the right, however it was labelled, Al bought as an Omelette Pan.  I've just checked - The Blip of the Box, Nov 2012 just says "Pan".
Personally I'd say they were shallower than the Sauté Pan, what say you?