Fat Guy w/ Game vs. Hot Guy

While leaving the gym today, the eternal conundrum of game pops up in my head. There are many guys who have said that to leave fitness behind and focus only on cold approach or dating skill has helped them tremendously. Likewise, there are many who say that to get the "hottest girls" you have to become the "hot guy, focusing not only on game but looks, fashion, etc. as well. It is possible that the divide is a misguided, but well intentioned search for truth. The real question should be: why not be both? Cold approach skill is incredibly important and frees up many options for those who learn it; maximizing your looks can only help you as far as women's initial reaction to you. It would be much easier to see that you are a goal driven, focused man on the upward spiral of life if you've got your fitness and health in check. Being a hot guy is about maximizing every area of life in order for women to see you through the filter that says "this guy is one that I'd love to meet". I think if more men just focused on being better, day by day, this question would answer itself.