It can go wrong too, though. Like if the other party focuses too much on "human uses dirty pan" and interprets it as "dev uses bad IDE" because both pan and IDE are tools humans use, missing the point.
The metaphor was kinda improvised so I'm sure it has other bad parts. The way I thought about it was with the kitchen being the service or codebase, and the utensils being utils/functions/modules/etc. Nothing more. So I bet there's more ways this metaphor can break.