Ehh, if you are going to game you are going to want the Pro at a minimum but honestly the mac gaming scene is still sparse. It all really comes down to what type of game you want to play I guess but even if all the games you want are on mac then I'd still say you want the fan in the MBP.
Agree 100%. If you wouldn't buy an iPad to play your games, don't buy a Mac to play those games either. Unless by "games" you literally just mean WoW, which seems to be one of the only major cross platform games that seriously cares about Mac support.
Personally, I would lean towards suggesting the purchase of a console. The new generation has some really nice consoles, and the Nintendo Switch is still really fun in other ways.