Probably almost none of it, at least not directly.
> How many new stores in any case are going to food deserts rather than places more profitable for the retailer?
Probably a lot of them.
Places where it's profitable to run a grocery store already have grocery stores. Food deserts exist in the first place because they're not profitable places to put grocery services for one reason or another. Lowering the fixed cost of running a grocery store means that some places that previously could only support N grocers can now support N+1, so that's where the opportunity is. This is no less true when N=0.