I do analyse things a great deal as for me it is a path to greater feel. My instructor James memorably said "do your thinking at night and your feeling during the day" and that is how I tend to operate. I suspect many others do as well, it depends on your personality. But then I shouldn't analyse that too much here as after all people are only people and should be treated on the forum as such and not over analysed
By profession I am a pilot. I have learnt an awful lot about aerodynamics, structures, engines, law, aircraft systems etc etc. All this knowledge is required by law for me to keep my airplane and passengers safe. Some of it I am tested on every 6 months for 2 days in a simulator.
Do I have this knowledge at the front of my mind landing a Boeing 767 in a 30 mph cross wind onto a short runway. Of course not. I just have to feel the airplane and the wind when I do that, but all that knowledge is lurking there in the background informing my feel and letting me know where the boundaries are that should not be crossed. In moments like that the aircraft and weather really feel like living beings.
I have found the same when I play with horses. I don't think about what horsenality is in front of me much these days, but the background knowledge this information gives me enables my "feel" to be more acute and fun. I don't think about which of the 7 games I am playing, but again they inform the "feel" of what I do.
I also study the martial art Aikido. We practise the individual moves very slowly and precisely, looking at how a move effects the opponents balance. Of course this is not how you would fight, but these slow motion practises are vital to you being able to perform the correct moves under pressure. In a way that is like the early practise of the 7 games, once you know them well enough to do them without thinking they enable you to be more effective.
I have therefore learned that so long as you gain knowledge with this idea of how to eventually use it in mind, then it is rarely wrong to gain as much knowledge as you can from whatever sources are available. For me Parelli has a large part of the foundation picture, though I tend to agree with your comments about dressage.
Pat himself says to follow the program to level 4 and then find a specialist instructor in your desired sport to train you further. And, to be honest, level 4 is where I am heading at the moment, and then I'll look around for instructors in my chosen sports probably from outside Parelli.
And who says I'm stressing about this horsenality stuff, for me its' fascinating