Wow PtarmiganUK! You're like a dog with a bone......you don't let go.
Seriously though, I think you raise some excellent points.
I couldn't disagree with your point about test kits. They aren't always accurate, although it is my understanding that KH kits are generally amongst the most accurate that we use. Most ask you to fill a test vial with 5 ml of water and each drop of liquid represents 1 dKH until there's a change of colour. Accuracy can of course be increased by filling the vial with 10 ml of water and counting the drops. Each drop then represents 0.5 dKH. As for pH kits, I believe most are accurate to within +/- 0.2 .
As for the jar theory, I honestly don't know whether the water would settle to the same equilibrium as the tank. That's why I put a ? there.
I do think though, that finding the equilibrium level of a tank without a KH test kit would be very difficult. Surely finding the equilibrium level would be the crucial point of this theory. As I stated earlier, with the two examples of tanks I gave, I believe it's possible for two tanks to have the same pH levels and differing KH's.
IE
tank No1 has a pH of 7.6, but because it has no hood and a low fish load and is in a room which is well ventilated ( CO2 levels outside are said to be 0.3 mg/l ). It has an equilibrium level of 1.9 mg/l CO2.
Tank No2 also has a pH of 7.6, a tight fitting hood and a high fish load, with very little outside air coming into the room. It has an equilibrium level of 3.8 mg/l.
If you were to drop the pH of tank No1 by 1.0 it would only have a CO2 level of 18.8 mg/l. If you dropped the pH of tank No2 by the same amount the CO2 level would be 37.7 mg/l . That's quite a difference in CO2 levels.
I still think you have raised a very interesting topic and I don't think I have seen this discussed before. Hopefully some of the other more experienced members of the forum could give us some input.