I think that the elements of RPGs are distinct, and that those distinctions matter. That prep is one thing and then play at the table is another. When discussing these things, those distinctions matter. Any given game may expect prep of one type, and then play will be something very different. And then another game may expect an entirely different type of prep, and yield play that’s also very different.
To simply classify these things all as play obfuscates rather than illuminates and seems to be supported solely to assuage those who think their preferences are being attacked.
Aside from that, I don’t really follow the reason for lumping prep of all sorts and analysis of all sorts and discussion of all sorts as well as radically different activities like miniature painting and so on under the umbrella of “RPG Play”.
Can you explain what purpose that serves?