It's so hard to explain to people sometimes what it's like to not have representation because, for some, it's the status quo. White male gamers have a simply staggering number of options to choose from if they want to see themselves represented in their favourite medium. I envy them. They have the privilege of being able to say "I only care about personality"/"I only care about writing" because they can be fairly confident that no matter what, the game is going to be written with them in mind. Other kinds of people don't have that luxury.
I don't know if it's an American problem or not, but I don't "identify" as a "white dude". It's really an issue that I don't see in my everyday life, but everyday on the English-speaking Internet.
I'm an introvert, I'm shy, I like books, I like games, I love languages. I feel much closer to Clementine in the Walking Dead than to Arthur Morgan (yet I find the latter even better written). I don't think "they thought about me!" when I play a wisecracking white muscly man that goes about his day being badass, guns blazing, because I'm none of that. So, no, I'm not confident they wrote the character with "me" in mind.
Many of my favourite characters from books, games or films/series have been non-white-male characters, because they were interesting. Some others are.
But hey, maybe that's just me. I'm just gonna be told that I don't understand. Maybe I don't, fine. Still, I think personality is the most important component, as I can relate to anyone, as long as the writing is good.
EDIT: Of course, you weren't talking about 'me', specifically. But being a white guy, and the quoted person, I'm just giving my point of view, obviously. :)