Yep. Theres a huge experiential difference between something happening instantly and it happening in 200ms or so. Especially when typing or playing video games.
It's everywhere. Next day delivery vs in a week. Streaming vs DVD rental. CI jobs. Notification about relevant news for stock traders. Switching files in editor. Jump to definition in IDE. Typing and videogames you mention have a very tight latency budget.
If you don't fit in the budget for the specific task, your product features don't matter much.
I see far more examples of per premature optimization (resulting in horrible code) than performance problems.