Re: would as "intentional" or "unintentional"? 2
No one can know what would have happened in the past, so to state is as simple fact may seem odd. Regardless, I'd say it's stated as a factual outcome of knowing each other. However, you cannot be made to be friends unwillingly. So it's both, I guess.
But you are drawing distinctions that few native speakers bother to even consider. Do the words translate differently? What difference does it make?
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.