Not sure how you can take this away from: "All Im saying is that there should be games for every taste."
He advocates for his colleagues to try different things. Not abandoning existing genres or doing exactly what he does. Also you said "We don't want Heavy Rain, we want games" implying you do have a problem with the kind of stuff Cage makes. Also rather objectively speaking, this point makes zero sense, as Heavy Rain is a game by every known standard. His games are derivative of the point and click adventure genre. I'm sure you are familiar with some of the classics and the stuff Telltale still makes. That's essentially the basis of his games. It's an established genre. Which pretty much brings us to the result that you don't like a sub-genre of games, which is perfectly fine. I don't like every genre either.
He clearly seems to think that games that are just games should move more to the background, when by rights they should be at the forefront. Basically, it's the same problem as now: I don't have an issue with people making AAA QTE things with movie-like presentation. There is clearly a market for them. What I am against is them being the foundation of the industry because everything I've seen within the last 8-9 years points to them being an unhealthy foundation.
I also take issue with the "more than a game" rhetoric because it implies the simple action born in the arcades is somehow inferior. Yet what speaks more to the human condition than a tool for having pure, blissful fun? What is wrong with being "just a game"?
To put it in different words, Cage and the industry don't seem to know their place. Their products are distinctly upmarket It's like an audiophile disparaging cheap, easy to use speakers because they would get more out of their music with a studio setup and a 100-band EQ. When I lambast such an idea it is not because I think no hi-fi equipment should be made, but that the hi-fi proponents understand reality. That reality is that their products are niche.
I'm an MTG player. Within the last six years or so, Wizards has dramatically simplified the game in certain ways, like taking away drawbacks from most cards. As a result, it is booming, more popular than ever. However, their changes have taken something I enjoy from the game (I entered during one of the most complicated sets of all time with complex boardstates). I'm basically not the target audience anymore. Some cry that the game is being dumbed down, and that is kind of true. I'm also disappointed that I'm no longer the target audience probably. But I understand that you need to bring in new players or the game will die. My solution, for now, is to explore other games like Android:Netrunner that seems to have a dev team shooting closer to the level of card complexity and design philosophy I enjoy.
Or take Atlus. They understand their products are niche, so they act like it. Small print runs that can be sold out, collectors' editions their dedicated fans love to bits, not-astronomical development budgets and so on. They don't aggrandize that their way should be The Way. They know they won't get grandma, but they know they get someone, and focus on ensuring that someone is a happy customer.