I saw you post and just logged in and made an Alice purchase for the first time.
You are normally supposed to have 6 items to check out, but I got a pass since I was new. I bought two things, a roll of paper towels for $.59 with a coupon, and a bottle of 7th Generation Laundry detergent (I have been meaning to try this for a while). I can't imagine this is a sustainable business model for them, because shipping is alway free. My order with tax was less than $10, and they stated it would arrive in 1-2 days. Prices were okay, not great.
I'll let you know how it goes, btw the pricing on some baby things looked really good. I can see how if you were home with a baby or more than one how this could be a good option.
Also I would have loved this when I lived in NYC, there I always felt like I was getting robbed on cleaning & paper products at the grocery.