Both Are Fun
So, I always see people take jabs at Nintendo for not having story in there games. People say that Nintendo only has Mario or Zelda. Well, this simply isn't true. Nintendo has a stable of IP's of high-quality. Also, just because the game lacks a strong story, doesn't make it bad. These games are often a blast to play
On the flip side, I've seen multiple Nintendo fans through the years say that cutscene-story driven games are boring & lack fun. That Sony hypes their games up with grapghics, only to have the gameplay suck. Well, that's also not true. Games such as The Last Of Us & Heavy Rain are actually really fun too. The story & cinematics help draw you in.
In Short, all types of games can be awesome & all types of games can suck. It depends if it's done correctly