Umm... I think the use of a wrist strap has nothing to do with discharging power supply capacitors!
Those capacitors can discharge on you, and could cause a really big electric shock (and wrist strap won't stop that). When you keep the circuit closed by pressing power button, they get discharged.
I believe wrist strap is used to eliminate small electrostatic charges that could affect delicate electronic components while manipulating them.
😵