# Does nature prefer time-independent mechanical energy equations?

Work energy theorem states that $$W_{total}=\Delta K_{system}$$ From this basic equation we can derive the following equation $$\Delta E_{mechanical}=W_{external}+W_{non-conservative}$$ The above equation is time independent and forms the basis of mechanical energy conservation law.I know the mathematical derivation. I am not sure but I want to know Does nature prefer time-independent mechanical energy equations?