Lovely concept and in the world of AFK or super simple mobile apps you can see this concept working wonders; with an expanded shop that gives interactable items you can sink so many 5 minute sessions into this. Wish it had some sort of sound though or even blushes when you pat him to amp the cute factor!
I would say adding some sort of interaction to seeing the items fuels a player to get there; see Blobby actually eat those cookies? I would click 10,000 times over if I need to. But without the items giving any reward to the player nor Blobby i find the game lacking in areas that aren't him being cute as a button.