Lol, this most of turning to an argument and is not a debate any more.
you are saying capacitor in series filters. I agree.
Now by your point you say capacitor in series increase power so should i say by putting a bigger capacitor in series of a motor say a washing machine motor the motor will handle more clothes than before and spin more powerful since by increasing its cap. value its power is increased and now i don't need a new heavier motor?? By your statement do you agree with this?? Yes or no?
No body said its harm to use cap. but its stupid using it and putting an extra load of 30w on ups for no reason at all infact we can use an extra energy saver of 25w if that cap was not there to consume its 30w.
LED can even charge on half square wave it will be slow but they will charge with out any problem at all. Please don't mix two things that have no link at all with each other. Charging a battery is different phenomena and emmiting a noise less current is totally different lol.
The culprit is square wave (which remains square whether caps are used or not used ) and not its residual-spikes. You are breaking the stick again and again (putting useless and unnecessary caps) and not hitting the snake (correcting the square wave to pure sine wave).