The network latency from Frankfurt to Italy is often unstable and does cause problems for video games I know. It's odd, but it's measurable, no idea why however.
It's relatively well connected to both Southern and Northern Europe?
Yeah, There is a huge internet exchange in Milan and a lot of submarine cables to Middle East, India etc go through Italy.
On the other hand, Italian courts were the most wiretap-happy in Europe a while ago (and not very tech-savvy), so perhaps I'd think twice before running anything there. I bet/hope Amazon got good lawyers to handle that.
If you are going to come out in a Middle-Eastern country, that's the least of your worries.