If it's any consolation, the running water is more valuable than the soap. Sadly, time under the running water is a major factor in how much stuff you can dislodge from your hands, so two seconds isn't going to accomplish a lot.
The soap is independently helpful, but it does occur to me to wonder how much of the additional value it brings is due to the automatic requirement to spend more time with your hands in the water, lathering up and rinsing off.
Interesting thought, that the process of rinsing off soap requires more time spent flushing with water, however, due to the nature of solubility, while plain water removes a lot, a https://en.wikipedia.org/wiki/Surfactant will help remove the rest. Not very much is needed. Your laundry will get just as clean if you do not fill the provided measuring cup with detergent.
You could wash your hands with a dry powder or a solvent better at dissolving dirt than soapy water to boot. Glycerol/ethanol comes to mind. (Surgical prep hand sinitizer heh.)
Me: Child, please go wash your hands.
Child: rinses hands under cold running water for 2 seconds
Me: With soap! And warm water! For more than two seconds!
Child: You want me to wash my hands with soap? You have to say it.