If you find your experience completely ruined by frame rates ever dropping below 60fps, you're going to find most of the newest games kind of a bummer.

The experience isn't completely ruined, but immersion is affected. It adds the GPU limitation as another difficulty factor in the gameplay. In twitchy games, the moments of maximum screen chaos are simultaneously those where you need to react quickly, and you are less likely to be able to react quickly if you're dropping frames.