Maybe TKD is different. But in Shotokan, there is the idea of body unification. You want your body to move together as a single unit rather than as a collection of separate and independent entities. In Shotokan, the power for the block would be generated from the hips, utilizing the power of the legs. The power for the strike would be generated from the hips, utilizing the power of the legs. You can generate much more power using your entire body, instead of just your shoulder or elbow.
As I said in the previous sentence, I understand it starts from the foot. Did you seriously separate these sentences in the quotes so you could post some high-and-mighty "it's not in the arm, it's the whole body" speel? Is this to make yourself look better or to cut down my argument?
Would it help if I phrased it like this? "With the block, the main upper-body joints that are moving are the rotation of the shoulder and the twist of the wrist, whereas with the strike the shoulder and wrist are relatively static and the elbow is the joint with the most movement."
This is similar to Shotokan. So, you are learning to do 2 different things here, from the back stance.
Yes. I don't really see the relevance at this point in discussing this, though.
Correct. You are using your rear leg differently in these 2 techniques. In one, you are learning to generate forward power from the rear leg, while in back stance. In the other, you are learning to generate lateral power from the rear leg, while in back stance. The application of that power, you are generating, can be used for what ever you want (strike, block, lock, choke, throw...). It just so happens that a block and a strike are used to teach those 2 methods of power generation. It makes teaching the technique easier... but don't limit yourself to only learning about the teaching aids. (Note that there are a lot more things going on here... but I will leave you to look for them)
Are you looking at two isolated techniques and trying to extrapolate our entire curriculum based on that? The application of that motion is going to change what you do with your hand (as I've discussed plenty in this thread), but also going to change how you apply the strength and position of your legs.
For example, let's take the knife-hand block from a back stance. If I want to use it as a strike (for example, a forward strike to the throat or collarbone) I will add a forward motion to it, which will change the direction of my power and change the interaction with the various joints in my arm. I'm having trouble seeing how the motion of an outward block would be used for a joint lock (to set up one, yes, to apply one directly, no). For a choke I would end up putting even more forward pressure than with the strike, probably combined with upward presser into the throat, which again changes the direction of everything. For a throw, I would turn into a horse stance so that my knee is pointing in the direction of force against my leg when I make the throw. This gives me more stability and less risk of injury.
The more you look at it, the less similar these techniques become. The more details you add, the more that must be changed to go from one application to another.
Please understand that I am not trying to argue here, but rather help you to see past your hands (and forearm and elbow) to see what is in these kata / forms. You are noticing a lot of detail about the hands, the elbows, the shoulders, the feet, the targets... Look at your center, your balance, your body unification... basically all the things between your knees and elbows... with that same degree of detail. There is a lot there to find. At least I think so.
Everything you've asked me about the differences between these two techniques are things I've already known. You haven't made me think harder about the techniques at all. All you've done is highlight to me that these are different techniques, and that the entire body is doing different things with a knife-hand block to an incoming punch than with a knife-hand strike to an opponent's neck.
And it does seem like you're trying to argue, since you've taken points of mine, broken them up, and then pointed out how the individual sentences don't cover caveats that the other half of the point talks about.