So, in my opinion, that's one of the difficult things about having this conversation in this thread, given some of the people discussing the issue. It's hard unless you approach the subject with an open mind. Genres are necessarily difficult to pin down with precision (something I've written about before); a subject that is often anathema to people who enjoy theory.
On this, I would say that one of the major, big, dividing differences between rules-lite games that could be categorized as "FKR" as opposed to "Story Now" or "Fiction First" or other terms would be the allocation of authority. When I look at the genesis of FKR and the conversations around it, that's something I notice. In fact, I use the example of Cthulhu Dark (lite) for that reason - if I play it with "Keeper adjuration" and Pemerton plays it with his background, we are using different techniques- even though we are using the same rules.
But is it? Maybe I'm wrong. Let me give you another example just to make things more confusing. Messerspiel is considered another "FKR" game (and explicitly so)- it is, in fact, called BiTD meets FKR! But if you look at the (very) minimalist ruleset, you will see that there is the ability for the players to "resist" the outcome of the referee and narrate a new outcome.
Which means that this game, which explicitly calls itself FKR, allows for a different allocation of authority.
Interesting, isn't it? Anyway, the point of this is that it's usually better to enjoy and celebrate this type of activity at the margins of our hobby than it is to denigrate it by actively attacking it and using pejorative "Bob Says" language.
IMO, YMMV, etc.