Oh yes. The cords still has voltage running through it, just in case it's needed to be used. To have voltage differences, you have to have current, which takes electricity. If you don't use it, there will still be electricity running through it.
I think if you can switch the cords off, it trips the circuit and keeps electricity from flowing through it. In that case it might be OK. However, I'm not an electrician, just a scientist with a boyfriend who knows everything.