Unless you care about sound quality. While I can definitely see a point in the not too distant future where its different, wireless headphones have offered subpar sound quality. Having to stick an amplifier, battery, wireless receiver (so possibly a DAC as well), and trying to not make it too heavy and enough battery life that its not pointless has caused significant sound quality shortomings.
I agree, particularly with mobile (cell) phone radio noise blips, but I was thinking that the OP had issues with cables. There's always a compromise.