Bleach as a healer? I totally don't see that at all. As for putting it in the water, of course you can, but if you don't have to, then don't. Why do you think they put it in city water? It's not for healing properties, it's to KILL bacteria. Same as pools.
DO NOT put bleach in the water unless you have to, IMO.
Since we're talking about water and it's possible implications in colic and general health... Are people aware that municipal/city health units test only for e coli and coliform? And there are many, many other things that can cause serious health issues. However, you need to have access to a special laboratory to complete a full water analysis. MDH does this as part of his business and it's absolutely scarey what can be in water. I never realized until we moved to where we are now and I will always request a FULL analysis in future for any property that may come across my lifetime. Whether city water supplied or well water.
BTW, those door to door water treatment guys are mostly a joke. And their tests are even funnier. You want the full honest truth, you've gotta pay.