Joel and Dominik, I ran into this issue as well and adding the CMSAzurePublicContainer setting to the cloud config fixes it.
Add the following to your ServiceDefinition Configuration Settings for your CMSApp role:
<ConfigurationSettings>
<Setting name="CMSAzurePublicContainer" />
</ConfigurationSettings>
Then add the following to your ServiceConfiguration.Cloud and ServiceConfiguration.Local:
<ConfigurationSettings>
<Setting name="CMSAzurePublicContainer" value="true" />
</ConfigurationSettings>