Softened water will leave you clothes, sheets and towels softer. It will dissolve and rinse away the residue of soap, scum, limescale and wax, and you will need far less product in future. This might be why it is easier on the skin. It will wash the soap residue off your hands, and at first you will be puzzled by how slippery your hands feel when you wash them. Your hair will be softer and shinier without the residue.
One of the fun things you can do when you first get a softener, is run the washing machine, empty, on a hot cotton wash. The water will go grey and foam up as it dissolves the resident sludge of old soap, scale and dirt out of the drum.
You can wash your towels with no powder because it will dissolve the residue caked into the fibres.
You will not need fabsoft again.
Your whites will wash whiter.