Yes. Distilled in any vehicle is a must. Tap water contains a lot of particulate and minerals that permanently coat (and insulate) the internal surfaces of your cooling system. This reduces its ability to exchange heat between the engine/coolant, coolant/heater-core, coolant/radiator. If the car will be in the crusher within the next couple of years (not reusing any parts via junkyard) then yeah, go ahead and use tap. But many cars have a second life in the junkyard. A gallon or two of distilled doesn't cost much; at the local grocery store.
Changed the coolant in my 2005 today. As per the manual, only the drain bolt needs to be removed (besides the radiator cap obviously). No mention of removing the hose.
After draining the old coolant, I put distilled water. Ran the bike for a few mins, drained. Poured distilled water for the 2nd time, ran for 10-15 mins, drained again. Filled with Zerex 50/50 antifreeze for Asian vehicles (blue). Did some research and figured that was the best for aluminum. Has the least erosion of metal in the pump due to cavitation.