5.8Ghz phones, less harmful than 2.4Ghz?

I was wondering about these new cordless phones running at 5.8Ghz, are they more harmful than the old 2.4Ghz phones, considering their frequency is over twice as energetic? Maybe the 5.8Ghz, use less power (amplitude) I don't know, but another thought is that at least the 5.8Ghz frequency is further away from the water molecule resonances around ~2.4Ghz.

Personally, I don't know what to think of the hoopla concerning phones and cancer or other ailments and I'd be curious to know what professional physicists think about this.