Actually the only games which matters in this list are:
Monster Hunter: PS2
Monster Hunter 2: PS2
Monster Hunter 3: Wii
Monster Hunter Portable 3rd/hd: PSP/ps3
Monster Hunter Frontier: PC/360
Monster Hunter 4: 3DS
Monster Hunter Online: PC
The rest of them are all ports/expansions of the old formula. MH4 is the only exception, where main series starts on handhelds. I'm not surprises people are confused.
The same can be said about some older Final Fantasy games like I&II, IV. The number of mobile versions of those games far exceeds those on home consoles. So like what? Those games were made to be on handhelds and mobile devices?
Also if their primal intention was to focus on handhelds and mobile devices they should release first game in the series on GBA rather than PS2
And that's pretty much it.