Thank you for sharing the details regarding the issue you're facing with training a custom model using Speech Service deployed with BYOS. This issue is also observed in both languages, suggesting that it may be related to the deployment configuration of Speech Service with BYOS.
Regarding the potential connection between the container support and Speech Service deployment with BYOS, Azure Blob Storage does support optional anonymous read access to containers and blobs. However, please ensure that the Speech Service has the necessary permissions to interact with the storage account and write data.
If your Speech Service deployed with BYOS does not have the required permissions, this could be causing the issue. Please verify that the Speech Service's managed identity is granted the appropriate roles where the models are stored and ensure there are no restrictions blocking access.
Please refer to this for more info: Set up the BYOS Speech resource.
Thank you for your understanding.