Re: If "classic" Trek had introduced the Borg...
Yeah, if you take that sentence you quoted in isolation away from the context from the rest of the post and then also assume the Borg have always been as they are as of TNG. I think V'ger's connection to the Borg in Q Who could make sense. Obviously far less of any possibility of connection with the Borg of from BoBW and beyond.
"No matter where you go, there you are."