First you need to define 'work' in the context of whatever you are trying to do. If you don't state the purpose of the circuit, no-one else can tell you if it 'works' for any purpose except converting electrical energy into low grade heat.
The video you linked is full of crap. e.g:
* A 12V secondary transformer feeding a bridge rectifier and capacitor will give closer to 16V DC.
* A PP3 9V alkaline battery typically has a capacity of around 600mAH. A current of 6uA would take 100000 hours to fully charge it. That's over 11 years, so it probably wont even keep up with the self-discharge of the battery!
* The relay doesn't need a back-EMF protection diode as the circuit feeding it is never broken.
* Putting mains and isolated low voltage circuits on two poles of the same switch is unsafe, unless the switch is built from individual mains rated, sealed microswitches, one for each pole, with their actuator and mounting frame grounded, or is otherwise of a construction that under all possible failure modes short of total physical destruction, retains reinforced insulation between the poles.