Dish washer detergents are strongly alkaline with pH up to 12.5, but typically the concentration isn't very high. Etchants are high concentration strong acids and acid salts., with active HCl and in some cases Hydrogen peroxide. Parts that are alkali resistant may not be acid resistant. You'd need to check each part for bare metal that could corrode and all plastics for acid resistance. Its a fair bet that somewhere in the system there will be a part that cant take acid exposed to the solution - all it takes is one metal washer in the pump or spring in a valve and you are FUBARed.