Your argument is flawed, and not just because you left out the major point of what I was saying.
Final Fantasy XV has 0 female playable characters. A first for the series. The one female protagonist in the game, Cidney, is typical eye candy, wearing an outfit no self-respecting female mechanic would be caught dead in...
Unity and Ubisoft in their "no female assassins" nonsense absolutely created an air of toxicity towards women, if not overtly in the game, certainly in their response to the controversy.
Moving on, my point wasn't gender neutral and more feminine games need to be advertised on TV, it's that these games need to be advertised more, period.
The fact that you have to actively look for these games is the problem.
You shouldn't need to seek these games out. They should be as pervasive in the public zeitgeist as Halo, Gears of War, and Uncharted are.
I think the likes of Candy Crush, Plants vs. Zombies, Angry Birds, Flappy Bird, Words with Friends, Minecraft, and Threes are all at least as big in the mainstream consciousness as Gears and Uncharted. Halo, that's a harder call, but they've had nearly 15 years to build that brand and market it aggressively.
AC has had female Assassins since the first game. Unity had female Assassins and Templars. True, you couldn't play as one of them. But in multiplayer, everyone was literally Arno. They had the same face, same animation, and the same selection of weapons and armor. Which is a clue. They didn't have time to create variants of all of several hundred different pieces of armor you could mix and match for a female mesh, they didn't have female motion data for all the new moves you could do in Unity over previous games, they likely didn't have the memory to implement these extra assets in an engine that already scraped the wrong side of acceptability when it came to performance, and most importantly, they did not have time to implement all of that before their immutable deadline. This is why you didn't have a female player character in the multiplayer component of a game I suspect you did not play. Not because they had some seething resentment toward women.
Final Fantasy is approaching a decade now that Lightning and her sister have been the face of the series as main characters and protagonists across three mainline games. As you say, FFXV has no female playable characters. They've stated they're going with a "just the guys" road trip sort of feel. But those guys are very specifically designed with their mostly feminine features, fashion conscious coordinated wardrobes, and impractical, trendy feathered haircuts. Who is this all for? I'll give you a hint. It's not the stereotypical straight, misogynist dudebros people like to lambast in these discussions.
As for women, Cindy is not a protagonist; she's an NPC. She's a stupid style over substance fan service character just like other minor characters before her like Chocolina and Leblanc. In other words, you're granting her too much importance. We know very little about the story so it's hard to say much, but she's certainly less important than the chastely dressed Lunafreya. Though, you know, the level of judgement you display in saying no "self-respecting" mechanic would dress like her has interesting implications regarding your views on the role of women. It's also easy to refute. Google "sexy mechanic" sometime. I'm willing to bet at least of few of those ladies are actually mechanics and actually self-respecting.
Regarding your last point, well, you're always going to have to seek things out if you ever want to move beyond the least common denominator. They can't just beam knowledge of niche, esoteric, or counterculture works into your mind. As I pointed out above, the popular casual games do have a lot of exposure. It just didn't come from commercials played during football games and action movies. They targeted the markets for those games in different ways.
In the end it's really as simple as just getting in there and actually playing some games. If you actually have interest in the medium, you need to find out what you like rather than have an advertiser groom you, anyway. It's not so hard to take a look through the digital storefronts and just choose what piques your interest. Follow the suggestions the stores give you based on the ones you liked and broaden your experience. Again, it's 2015 and this stuff isn't nearly so hard now. There truly are games for all tastes these days. There are tons of games fitting the criteria in the author's closing statement. Nobody's keeping the author or her sister from gaming but themselves and their preconceptions and hangups.