mhmm, I just realized I focused way too much on the actual controls, missing the point of the post. I got wrapped up in “how would I make this guy move?” more than the overall feel of the game. 
Whats the primary market? If you’re going the PC route as the main target, this game would probably benefit most from free moving/free flowing platformer. But if your main market is mobile, tile based/turn based would be best so the player can play at his own pace and not get clobbered by bad guys because someone distracted him in real life. I guess it’s been my experience that in a mobile game, turn based seems to work better, because when you’re playing typically you find yourself in situations where someone will come up and start talking to you or distracting you in some way, with a turn based game you can simply just stop playing and give them your attention and then return to the game when they leave, but in a free flowing/live game, you can’t do that so much. Where as, at home you usually have a game’s complete attention and you can have a live game.
As far as overall quality, I think a live/free flowing game would be best, it’ll give the world you’re making the most “life/atmosphere”, but if mobile is your primary target, I think you’d still benefit more from turn based based on what I said above.