Rest assured we still have this request in mind and are continually reviewing it. Please keep your feedback coming!
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 firstname.lastname@example.org.Arijit Das commented
This is mid of 2016, any update on this?
[Update] Thanks for your continued feedback on this capability! Rest assured that we are tracking this request closely along with several other platform capabilities our customers have requested. In the meanwhile, you can leverage cluster scaling capability to adjust HDInsight cluster size according to your varying compute needs. Azure Data Factory is another option you can explore for scheduling jobs with automatic creation and deletion of clusters: https://azure.microsoft.com/en-us/documentation/articles/data-factory-data-transformation-activities/
Microsoft Azure HDInsight