Well, you switched "sensor" with "camera" and now we're in gentle disagreement. ;-)
So the point of the digital camera ISO standard is to assign historically- and photographically-meaningful labels to the various sensitivity settings of a digital camera. So instead of "sensitivity setting 1" "sensitivity setting 2" "sensitivity setting 3", etc, which no film photographer picking up a digital camera for the first time would intuitively understand, we have "ISO 100" "ISO 200" ISO 400" which is instantly meaningful to the photographic community and maintains a very relevant connection with photographic history. This ISO standard even refers to the ISO setting on digital cameras as the "sensitivity setting" (3.13) and says things like "For historical reasons, the sensitivity setting of a DSC is often labelled the 'ISO'" and "In some cases the sensitivity setting is set by the user. In other cases it is set automatically by the DSC." (DSC = Digital Still Camera)
It is quite clear that digital cameras have user-adjustable sensitivity settings, and we call those the ISO setting.
Now, I agree that in the strictest sense of the term sensitivity, a sensor will always count only 1 electron for each 1 photon captured by a photosite. That's just physics. But there's a whole host of analog and digital processes in a digital camera that scale that 1 electron into a larger and larger digital number, changing proportionally with the camera's ISO setting. That is the practical "sensitivity" which the ISO standard defines.