I don't want to get into the discussion of Raids, that's a whole different argument. What I would like to discuss is matchmaking for the regular missions leading up to the Strike missions, and why Strike missions get matchmaking while the regular missions don't.
It would be nice to hop into the game and start a mission with some company rather than grab a couple. I enjoy playing with friends, but I enjoy playing with people I've never met before too. Call me social, call me anti-committal, but if Strike missions can have a matchmaking system then surely the other missions can too.
TL;DR- Matchmaking for 3-man story missions as well, not just the Strike missions alone.
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The game needs a single player element too though. The compromise is that they give you the option of inviting your friends into your single player game. Matchmaking just doesn't fit with the purpose of these missions in the game.