i have been traveling for 8 years with airbnb, specially in Milano, and i can easily say that the host was the most hospitable person i have met.
i cant mention all the small details everyday, but the 2 things that i will remember is 1) it was 31 degrees (heat) and we didn't have a refrigerator for water, and i was not allowed to use the host's fridge, or even just put the water in. we didn't asked to walk through the kitchen or nothing. just 1-2 bottles.
2. and most important, from day 1 we asked the host at the day of the check out, to leave one piece of luggage for extra 2 hours because our flight was later, (we were even open to the payment route, not just a favor), she said YES, and at the last minute after we packed everything and we were ready to check out, she said for her own reasons, she couldn't.