I wouldn't. Amazon as a system of getting goods makes sense, and if done right would cut down on gas consumption with everyone driving to the store separately. I happen to live in Seattle and have used AmazonFresh (grocery delivery) and have automatic monthly diaper delivery with AmazonMom and it's awesome. I look forward to a future where I don't need to drive anywhere to do my shopping, and can spend that time out hiking and having fun with my kid. Only thing that might be cool is an Amazon "try it" store where you can go check something out before getting it. Just drop the stuff off with my hose robot and it'll unpack, stock things in the fridge and elsewhere, and recycle the packaging, or better yet start using re-usable packaging and I'll just give it back in the AmazonFresh bins.
On the topic of local distribution centers, I'm sure that this will not be a full selection of Amazon products available for same day deliver, just a selection of the most popular items, which will still be nice to get faster.