In terms of the current influence on the gaming industry as whole I would agree apple is huge... The iPhone has probably brought more new people into video games than the Wii, PS3, 360, DS or PSP... in fact discounting the DS it's probably more than the other 4 combined. It has also ripped quite a few casual gamers away from the occasional browser flash game. People will sit at a desktop computer with their browser open but playing games on their iPhone (or other smart phone, but again without the iPhone the smart phone market wouldn't be anything like it is today)
In terms of overall influence though, i agree apple is dwarfed by Nintendo and Sony, and should also come behind Microsoft and Sega, and probably Atari as well.
EDIT: looking at the OP again, it seems the top results are about hardware (iPhone vs. Wii etc)... While it seems very skewed in favour of the iPhone, I would say it has had a bigger influence on gaming than most other single pieces of hardware... the other contenders being Atari 2600, NES, Gameboy and DS (Wii and PS1 following behind)
The second list though doesn't make much sense to me, Steve Jobs the man has certainly not influenced gaming as much as Miyamoto... Even if Jobs personally developed/invented the iPhone and it's app store, which I would guess is not the case.