I really enjoyed reading the article about that rifle in Guns of the Old West. I've got an original Lightning in .38-40 from 1884 and since I'll never be able to afford to buy an original Burgess (and if I could, I suspect that my wife would find some unique way to make me be sorry for it), I think that one of these times I'm going to have to pick up one of those replicas.
Interestingly, the first few years of Lightning production didn't have a dust cover on the ejection port, either, but at least they had a spring loaded gate on the receiver.
Another great video!