My first question is: what are the parameters of your tap water? While discus don't mind soft, acidic water, and wild discus come from those conditions, most domestic strains are now raised in harder water with a higher pH. They are very adaptable and usually do fine as long as the water parameters are kept stable. It sounds like a lot of trouble (and probably fairly expensive) to haul water home from the grocery store if your tap is perfectly acceptable. Unless your water is extremely hard/high pH or you have bad quality water, I don't think RO is necessary in most cases.
Your LFS was right -- the RO process strips minerals and trace elements out of the water, leaving you with very clean, pure water. The best way to deal with that is to either add these back in by mixing with tap water or by adding a product like Discus Essential or RO Right.