I do believe deer can taste different based on what they eat, I dont believe deer can taste gamey or not based on how you gutted and skinned it, I think thats a myth, no I know it is. LOL.
I have eaten turkey that had been eating to many chile petines, the meat was hot like the peppers it was eating. I also have found that pig can tast diffent from others. I have shot little pigs that tasted bad, you could smell it when you would cook it, smeeled like piss, nasty! and I have shot big 'ol boars that were excellent eating, so I think the size of a pig is also a myth.