It is valid that a grid failure proof system is a bigger change to relationship with the grid.
But as someone with a 10x cost difference between on-peak and off-peak pricing, stored power certainly changes how I interact with the grid. My time of use use, and therefore my family's own habits, are drastically changed. Not doing laundry 16h00-21h00 with a toddler was a rough go. So yes, my relationship with the grid has totally changed; in ways more than jsut my bill.