SharePoint 2013 Azure farm accessible from outside part 2: what about friendly URLs

Have you read this? SharePoint 2013 Azure farm accessible from outside
I discovered it doesn't work for friendly urls, it shows hyperlinks targeting site collection, so it's not possible to reach other pages. Moreover you'll get this error if you only create a outbuond rule for URL rewriting because of the gzip compression.
Outbound rewrite rules cannot be applied when the content of the HTTP response is encoded ("gzip").
What you have to do is something like this:

• Introduce a outbound rule which rewritest some links
• Introduce rewrite rules for gzip compression

The example below assumes:

• Local site collection is: http://sitecollection.example.cloud
• Public azure url is: http://publicsite.example.azure

And that's all... for now!