Peat pellets tend to have a lowering effect on pH, how much and how quick depends on the buffering capacity of the water. We are not just talking about "salt" here but "saltS", the final s makes a lot of difference. In places like the Rio Negro where a lot of blackwater tetras are found, the water is, for all practical purposes, free of all salts. It contains a complex biochemical loading however, not just peat, but leaf, bark and fruit acids and their decay products. I measured the pH in a number of places and found it to be lower then I was capable of reading, (so it was well below pH5).
Fish in regular tapwater, placed in water like this would die quickly of osmotic shock. I say again, this is not something to be lightly entered into, you really need to understand this water. If you don't, you will not succeed. The questions yu are asking suggest that you don't yet have a full grasp of the issues, if you did, you wouldn't need to ask about distilled water!!!