The Devils played a season with 6 left handed defensemen on the roster. Martin, White, ODuya, Salvador, Greene, Mottau in 2009.
It's just out of fashion, not impossible.
The faster the opponents are, the harder it gets.
I wouldn’t put any relevance into how well someone did it in juniors or in the past in the NHL (not that 09 is ancient history, but still).
It’s a handicap and it also wears on players. The opponents dump the puck in on their side and hammers them. It’s tough.