I noted, taking into consideration all of the different variants of the basic H-60 design (Black Hawk, Sea Hawk, Pave Hawk, etc) that "A Black Hawk can do any mission an Apache can do; except the Black Hawk can also rescue an Apache pilot".
The Apache pilot responded, "Uh, we can do that, too, you know".
Yeah, he's actually right. Watch this video, which features British WAH-64Ds rescuing a British soldier in Afghanistan. (The US has used this trick at least once before in Afghanistan, as well)