Nope. Titanfall was cool for a while, but the experience became very thin after a while. It's a fun game at times, but it didn't pull players back to keep playing like a Halo or a CoD tends to do.
I agree people don't ever talk about CoD/BF campaigns though, I was def one of the people championing that argument when nikkas cried about ti being online only, but my personal experience with Titanfall was that, while it was fun, it wasn't fun enough. Saw a lot of people mirroring that feeling too. Even after getting the 1st DLC, I couldn't bring myself to continue playing it. It just didn't pull me in and didn't ever present itself as a truly viable MP game to take my time away from BF4. Never really felt a shift in gameplay style except for when playing Last Titan Standing, since that slowed the pace of the game up ridiculously. Every other gametype you could just kinda do the same things and you'd flourish. Even went back to play the 8 on 8 mode and it was just boring.
Titanfall was far from a classic, but I think there's room to get the franchise up there in talks of bright new IP's.
Halo, COD, or Battlfield weren't considered "classic" immediately when they dropped.
They only got that title after other games started using their ideas. Titanfall is the same.