Trader Joe's. Back in early 2015, a few grocery supply chain leaders at Target thought the Trader Joe's model could be tweaked to fit the Target business model. Unfortunately, those same leaders were let go during the March 2015 staff layoffs.
It is not a secret that Target runs its grocery business upon their general merchandise strategies and systems. I would expect any traditional grocery model to struggle at Target, without a significant system overhaul. Looking at your idea from a fit perspective, a "disruptive grocer" model would have a better chance at aligning with Target's core business model than a traditional grocer model. Your Target fix has support and merit!