That was a good bill.
It was vetoed by Clinton earlier.
All the other bills I am aware of were deliberately written as Red Meat for the right, knowing they went too far and could never pass or be upheld. It is a cheap political trick, and one of the few that Dornan didn't sink to.
Dornan was already out of congress when the bill came up, either under Clinton or Bush, so naturally his name wasn't on it.
The sponsors probably wouldn't have wanted him anyway. His sponsorship would just rouse the liberals to try harder to defeat it.
So9