Pure Games already exist, and it's called fucking sports.
If people want to argue about the "mechanical tightness" and "good feeling" of games being essential to the artform, then go ahead and make a pure mechanics game without semiotics or any form of storytelling, so we can talk about how smart you are.
Or is that not how it works? Because to me it looks like every single video game worth talking about has been wrapped in some level of story telling. Story telling is the part of the artform that pushes on the little center in our brain that makes the work feel bigger than it is. I don't feel that at all when I kick a soccer ball around a field.
Some of the games listed here in these arguments are not even part of the discussion in modern gaming, because people quickly grow bored of testing their digital athleticism in a 2d sandbox. Maybe nobody actually cares if you can push buttons on the correct timing. Maybe that's not why we're here.