"The shower head is the mind and the water is the KI. "
I'm not gonna quote all of that since it's going to make a MASSIVE wall of text.
You seem to be under the impression that Psychic energy is COMPLETELY separate from the Mind. All your examples has stuff like a shower head and water, which has NO relation whatsoever. Psychic Energy is produced from the Mind. The Mind is the production factory. The Psychic Energy is the product. The Mind makes the Product. If there is no product, then there's a problem with the factory or there is no factory to MAKE the product.
A Showerhead doesn't PRODUCE water. That's where your examples fail.
You say that psychic energy = Mind is ridiculous, but what's more ridiculous is apparently the fact that you think Psychic Energy has NOTHING in relation with the pipe. Psychic energy isn't it's own thing dude. The word psychic itself at least implies a connection to the mind or soul, not "The Mind is totally different from it and works like merely a pipe". Psychic energy needs a production facility, and the Mind is that facility.
"Actually, stop there. What implies that this didn't happen at all? Because destroying the source would clearly destroy what's coming from it"
The fact that they said they destroyed the residual Ki that Demigra left? If there was Residual Ki, Demigra would just come back like he did before. His Ki is "Infectious" that way.
"It doesn't work like that the other away around, unless your seriously suggesting DB characters take parts of their literal mind and blast it at opponents in battle, which is absurd."
Dude. Blood manipulation users use their own blood as bullets and forms weapons with them all the time. Ultraman, the Japanese Hero, uses the Specium Beam as his finishing attack. His blood is also Specium Energy. He's using his own blood as an attack.
Why is the mind any different? It's only an aspect of Ki and isn't 100% Mind power. What you find absurd has no bearing on what's the author's intent. Author Intent > Your intent. What he wanted was the Mind is an aspect of Ki, not a totally unrelated energy that is produced somewhere else.
Again, correlation. The Mind produces Psychic Energy (Which is also a term that is connected to the mind or soul so it's not the relationship of water and a pipe like you're implying), the lack of Psychic Energy implies the Mind has a problem or it's gone. The lack of a mind means a lack of Psychic energy.
If a production facility isn't producing what it should, then there's a correlation.
"So now again your admitting KI and the mind aren't tied together? Otherwise, you wouldn't have said this. "
You misinterpreted me. Again. I was using your example. The Pipe and water are NOT tied together in your example, which is why I said it's a flawed example. Psychic Energy and the Mind has the relationship of Production Facility and Product, not Pipe and Water.
"Then refer back to my question about Chrona. Even then, this still isn't true, at all. Just because you destroy the water coming out of the pipe doesn't mean the pipe itself is effected. It'll just release more water. You'd have to destroy or remove the source for nothing else to flow or it's pointless. As in this case, having your KI destroyed doesnt mean your mind is suddenly effected. "
I already answered the Chronoa thing.
You're not even trying to humour my examples are you? My examples differ in the fact that it's a Source - Product relationship. A direct producer. Your examples are Transport - Product. The lack of one thing doesn't mean the other doesn't exist, which is what I disagree with. So your entire second half of paragraph, I can't even reply to because it never addressed my examples or logic at all.
Edit: I ended up making a wall of text anyways. Great! ;D