I'm tired of updating my GPU drivers and experinece (5-10 minutes), then launching Steam, waiting for it to update and restart (2-3 minutes), then picking the game I want to play, waiting for it to update and install (5-10 minutes), then finally launch the game and have it spend more time connecting to servers before I can game.
The value prop of seeing a game trailer or game video that seems interesting and being able to say "play with stadia" and it just throwing me right into the game is the feature that speaks most to me.
If Stadia does this and it works well enough, i'll gladly get rid of gaming PC.