This is in progress for Azure CDN from Microsoft.
-Max G [MSFT]Denis commented
Definitely need this feature.
Current page is really ugly.
And what is more awful that users think that your site is down because of this message :(
The same thing for static web sites hosting BTW
"Our services aren't available right now
We're working to restore all services as soon as possible. Please check back soon.
3 votesDenis shared this idea ·
We are excited to announce the next generation AzCopy, v10, which now supports /MIR functionality through the ‘sync’ command. AzCopy v10 is available for Windows, Linux and MacOS and is now in Public Preview. See https://github.com/azure/azure-storage-azcopy for more information
Thank you for your feedback. We are currently in public preview of static website hosting for Azure Storage to enable this scenario. Check out the blog post here for more details: https://azure.microsoft.com/en-us/blog/azure-storage-static-web-hosting-public-preview. The feature set includes support for default documents and custom error documents for HTTP status code 404.
For any further questions, or to discuss your specific scenario, send us an email at email@example.com.