A few reasons:
- They actively image your naked body. Metal detectors do not.
- They record said image of our naked body for an indefinite amount of time. Metal detectors do not.
- A human views the image of your naked body, and makes a subjective assessment of whether or not something suspicious has been detected, based on a wide range of parameters. A metal detector is a simple on/off detection based on an extremely narrow range of parameters.
In short, they are invasive because a human is involved. Let's not forget the cases (now rarer) of TSA agents guffawing at each others' penis sizes, or deliberately checking out women in the scanner, etc. My objections against the scanners would be greatly nullified if:
- All decision making is made via computer. No human ever sees the image.
- All images are immediately discarded. No record of the scan exists except the result.
- The parameters of detection are open and transparent.
The invasiveness of the scan has less to do with the scan and more to do with the tremendous opportunity for abuse it represents - both at the low level (individual TSA agents) and high level (as a matter of policy).