I have a 12V led strip connected to a (cheap) 12V 5A switching mode supply.

The supply is connected to a remote control switch.

The supply does not have earth connection (only neutral and live)

The supply have an European plug ( Live and neutral can be switched by turning the plug 180°)

Since the remote control switch only cuts one connection (I think) if I connect the plug in a certain way the live or the neutral wire still reaches the power supply even if the "return path" is blocked.

In one of the 2 cases I noticed that if I touch the led strip some of the leds near the point that I touch turn on very dimly. I have no body->earth connection except for the body capacitance. 

The questions:

* Is this caused by me working as an antenna or by me working as a
capacitor for some low current AC signal on the output of the power supply?
* Is this safe?
* Is the power supply working properly?
* Is the remote control switch working properly?