Leaving water to stand for days is one way of gassing off chlorine, but that doesn't work if the water company uses chloramine.
In hard water areas, water companies often add something, usually CO2, to reduce the pH and help prevent limescale build up in the mains pipes. In places with very soft acidic water, they add some thing to raise the pH to prevent corrosion of metal pipes. Both of these gas off, and the pH reverts to its untreated level. So leaving water standing for at least a day will avoid pH swings after a water change.
But there are other considerations - do you have a childproof place to leave 105 litres water to degas? And if you do, how easy would it be to transport the water from this place to your tank?
But this only affects pH and not hardness. The only way hardness increases is by adding calcium and/or magnesium to the water (hardness being a measure of calcium and magnesium) If your tank hardness is higher than your tap hardness, something in the tank is adding calcium and/or magnesium. This could be topping up with tap water between water changes, calcareous decor dissolving, or something in your new substrate.
The vinegar test is not 100% reliable. The better, but more time consuming, way is to put each piece of decor into a small container of water. Test the hardness as soon as it is put in the container, and again after 1 week. And swirl the water up before taking the sample to make sure it is thoroughly mixed up. If there is any substrate left over, test that as well.
It is also worth doing some pH testing. Run a large glassful of water and test it immediately. Then again after 1 day, 1 week, and as many times during that week as you feel like doing. And test the decor-containing water after a week as well as the hardness.
If we can pin down what is causing the tank levels, we can work out a way of coping with it.