We got it working but there we're a TON of drawbacks that made it not worth the effort. Here are the top three.

1. The config was overly complex and not flexible enough for our needs.

2. It added extra, and unnecessary deploy steps which slowed down our deployments.

3. Configuring GZIP on S3 and Cloudfront is prohibitively complex.

CloudFlare on the other hand, solves many of these problems for us.