Yes, the difference in water from the tap varies all over the world, not only from region to region in a single country. I don't know what the make-up of everyone's tap water is, but I can say that some is so bad in some parts of the US, that I can't even stand the taste of tea made from water from some taps. But the tap water in every place we visited in our recent trip to Europe all tasted fabulous. So could I use it in soap? If I had been making soap on that trip, I would have done so as the water was so very good to the taste and I would not have known were to find distilled water.
The tap water where I live tastes bad, and even with a water filter, the taste is not as good as tap water in Manhattan. But I have used my filtered tap water in soap at home a few times. Still, I do prefer to use distilled water as the cost for me is so low for distilled water, and besides it just seems better to veer on the side of caution.