So, I called Klipsch. He said that he hasn't really heard of counterfeit RC-62's, but it was possible. I can't tell from the photo if the number is "96357413" or "96857413". One is a valid serial, and one is not, according to the Klipsch rep.
Also, I just realized that this is probably not the "II" line. Is it still going to be a good match for my RF-82 II's?
Edit: So, after reading a bit, it seems that the RC-62 and RC-62 II are pretty similar sound-wise, but the cones are a different copper color, and the bezel/grill is different. So, either way (grill on or off), they won't be a perfect match to the RF-82 II's (aesthetically at least).