Not unless you want to increase the depth of moisture penetration. You can check the ability of a screwdriver to penetrate the soil. How hard is it to push in. You may need a very long screwdriver.

Adding shampoo, or any other type of soap, reduces the surface tgension of water and lets it pentrate deeper and faster then without, and is the only reason for doing that. If your soil is too compacted for water to penetrate without the addition of the soap (shampoo) then you need to check the level of organic matter (and increase it) in that soil so repeated use of that material is unnecessary.