This puts me in mind of the short Taiwanese animation Out of Sight (敲敲). The theme is nearly identical: Visually impaired girl looking for a lost pet.
The 28 Plays Later podcast focused on "walking simulators" for part of an episode. I'd played a few in the past, but never really thought of them as a genre before hearing this.
Generally I enjoy some sort of game goals (even violent ones) in my video games. That said, if a game's setting or situation is evocative or innovative in some way, then I'd be fine exploring that now an then even without a lot of action or problem solving.