I would tend to agree. As long as you aren't wildly acidic or alkaline, the soil has so much in it that buffers and impacts the water's pH that almost all tap and well water is going to be okay as is (not so for hydro/soiless).
Also, the chlorine gas (and chloramines) aren't really harmful to your plants - they have no mechanisms to take in any of that stuff - but they are toxic to the microbial life you should be introducing and sustaining in the root zone. Bubbling the water will get the chlorine gas out of the water, but not the chloramines, which are still harmful to beneficials depending on the levels in your water. I use city water so I can easily get a breakdown online. You would probably need someone to come take a sample and do the analysis for you. But my water has chlorine and chloramines in it, but I still want to utilize inoculants like mychorrizae, beneficials via compost tea, etc....so I use a dechlorinator that essentially breaks the bonds of these molecules. It destroys very large amounts of chlorine - and also the chloramines that bubbling-only leaves behind. So I do both. I fill a 20 gallon trash can with water, add 10ml of the dechlorinator and let a couple of air stones go to work on it overnight. I brew compost tea once a week and add it to all of my waterfarm hydro buckets and coco hempy buckets.
You should give this a try. There are kits you can get from progress earth or all-in-one's like extreme tea, probably a lot of options at your local grow store. Super easy to make (just bubble for 24 hours) and I have seen incredible results. Deficiencies and little issues like that don't even really bother them because the roots are so developed and healthy the plant is able to fend off any disease or issue easily and the microbes are freeing up so much more of the available nutrients that there are plenty of what the plant needs. I went from struggling with all kinds of root rot issues, nutrient lockout/deficiencies, and just general weakness to plants that are stronger and healthier than every.
With your set up, you could probably alternate feeding them tea and water (or just straight tea all the way) without ever needing nutrients - depending on the contents of your soil of course. The tea isn't food so you can't burn or overfeed them. They are little organisms that break down dead roots and other organic material as well as the nutrients themselves into forms that the plant can absorb easier. The plants actually manufacture sugar in order to attract them. The plants can't use sugar themselves, but the microbes love it, so the plants excrete it to lure them in so they will take up residence and go to work around their roots.
Give it a try, you might see the issues you are encountering clear up pretty quick.