the softener pipes give a little slack for moving it e.g. for servicing. BTW yours is standing on the floor of the cabinet. Softeners are extremely heavy when ful of salt and water (try lifting it) so usually the floor of the cabinet is cut out so they can stand on the real floor.
plastic pipes do not conduct heat as well as copper pipes do, so if yours are dripping it is more likely from a leak than from condensation.
You might consider drilling a hole through the back wall to the outside. Cool dry air can blow in (or warm moist air can blow out). Either will reduce humidity and condensation. You can also feel the surface of the wall to see if it is damp.
plastic pipes do not conduct heat as well as copper pipes do, so if yours are dripping it is more likely from a leak than from condensation.
You might consider drilling a hole through the back wall to the outside. Cool dry air can blow in (or warm moist air can blow out). Either will reduce humidity and condensation. You can also feel the surface of the wall to see if it is damp.