Actually it does, all the time. If it doesn't for you then you are either not leveraging the power of the system, or not accurately assessing the situation. Comparing different numbers of fights as if their count was somehow intrinsically linked to the type of combat system makes absolutely no sense.
That's subjective. I certainly consider Pillars of Eternity a good RTwP system. And NWN2:SoZ too, for that matter. Even DA:O was serviceable.
That depends on what you consider proper execution. I mean, perhaps the best TB system of all time is featured in Divinity OS, and even that suffered from battles with many participants becoming boring time-sinks.
Multiple people bring up that point, and I just don't follow at all. Maybe I have too much imagination or they have too little, but I see nothing about these interactions that couldn't be done in RTwP. Just pause when the interaction starts, let the player choose what to do, and assign a time that completing it takes.