[who would the 9/11 Health Bill cover, and why wouldn’t those people not already have medical coverage?]
Didn’t the families receive private donations also?
I'll bet many of them did receive private donations, but there's no point in bringing those up since the records of such probably are either, well, private or have been (intentionally) lost. Plus, if even one rescue worker did not receive private donations, that will me an additional issue for the people pushing this bill to bewail.