Yes it will. Dial soap will remove the oil contents and the rubber will deteriorate faster than normal and will start cracking because the rubber is being broken down unnaturally. Use a bucket of warm water and dish soap and wash it down and then spray the dish soap off.

NO,no soaps will hurt trampoline.

I wouldn't use it just clean with warm water and some mild dish liquid.

The soap is mild enough for your skin so why not.

nope you'll be fine