The broadcasts could definitely be worse under ESPN, but my biggest complaint about NBC over the years is how much they squandered the NHL.
Just look at the massive amount of effort put into advertising and broadcasting Sunday Night Football, meanwhile the NHL got relegated to the rebranded Outdoor Life Network and would maybe get one SCF game on NBC.
It's beyond comprehension why a broadcasting company would acquire the rights to the NHL and not market the league, teams, and players as much as possible.
And I haven't even talked about how awful the broadcasts were. Just the fact that verifiable hockey-idiot Mike Milbury had a job as an analyst for the better part of a decade speaks volumes to how out of touch NBC was.