Once same-day delivery and/or drone delivery takes off I predict the grocery store market will start to look similar to retail music/book stores.
The input/output dynamics don't change very much in that context (by strictly producing commodity style products), except the potential for higher-margins and more efficient distribution channels.
Spend 10 minutes outside of a typical suburban grocery store and try to estimate the weight of everything coming out.
Will it be used? Sure. I think it's more likely that it will push grocery chains to start/improve their own delivery services. After all, they already have "distribution centers" all over the place.