It is not.
This is such an obnoxious form of pedantry. Yes you absorb less calories from the food you digest and yes you poop out more unused calories and yes the way your body uses fat is less chemically efficient than carbs.
That's just not what anyone means when they say CO. Technically true in such an "ummm aktshully I'm a teenager that just learned thermo 101 and have to be right about everything" kind of way that's just not relevant to the discussion being had. Yes, of course if you put everyone doing keto in a chamber where you measured emitted heat and put all their poop through a calorimeter thermodynamics applies.
The point is none of that matters in the context of discussing diets because you can very successfully lose weight on keto while eating more calories than you did before and not changing lifestyle.
My point was just tallying food calories in is a shit way to be as reductionist as the pic is being.
Drinking straight olive oil while not being on keto is not gonna go great for weightloss, but is fine on it.
At no point did I say the CICO diet doesn't work but go off I guess.