they are cable-less, thus need to be charged separatel

If you wish for ANC you'll need a battery anyway, and most people do want ANC these days

they are cable-less, thus it is easier to lose them

I'm loosing my wired headphone far more often, for a simple reason: wireless ones having a battery allows me to make them beep, given they are near, of course.

bluetooth implementation is a potential security vulnerability

Sure, and so are wired headphone as they act as an antenna, broadcasting to anyone with an appropriate receptor anything you say and/or hear.
As for the implementation vulnerabilities, at least it can be patched.

transmission by radio will always be less energy efficient than transmission by wire

Sure, but is it that much of a problem? It would take years (if not decades) of constant listening to even use a dollar of electricity for wireless headphones. Even if you factor the data transmission from the phone into that.
And wired headphone are not energy neutral either. They works by pulling energy from the phone battery.

I prefer the wireless headphones ease of use to headphone I have to untangle every time I want to use them. I keep my wired ones for home uses.