A gaming board on the front page right above or below Off-Topic would make this place ten thousand times better, and more friendly to newer on-boarders. Who, demographically speaking, will be majorly consisting of 13-21 year old males. 13-21 year old males love to play video games. Give them a place to talk about it, and perhaps they will find the beauty in bitcoin like we all have.
OP made a strong argument that I think is valid. Adding a gaming board could be an avenue to attract young people to the forum and some of them might pick interest in Bitcoin. However, the decision to create such a board will solely depend on how the leadership of the forum sees it. For me, there is no harm in adding the board after all there are some local boards that are not functional.
Video games aren't interested to advertise on this forum and that's why there's no board dedicated to video games. It's possible to have a separate board for video games that accept cryptocurrencies like Bitcoin as payment system but the audience to that board isn't much wide on this forum.
Advertisements don't work that way. The forum will have to first show interest in video games which will attract companies to the forum. If video game companies identify that the forum has a high traffic of video gamers, they might decide to advertise their services in the forum.