I would guess that the lightning damage is self limiting, in that it tends to blow out the aluminium contact on top of the cell, thus isolating any shorted silicon areas. The rest of the cell is still able to generate power, and the multiple tracks of the cell means that there are still power paths to carry the current.
As to the connectors, I think they are simply aluminium strips, as that is both cheap, compatible with silicon and also easy to spot weld ultrasonically onto the cells, and as they have not corroded with moisture ( as silver is want to do, going black very quickly in air exposure without a protective film) and the connection method of using a tool to press the strips down folded into a broad bladed socket is guaranteed to scrape the oxide off and make a gas tight seal with the stainless steel terminal strip.