@Peter Drier Just for testing purpose can try to download the same Files using Azcopy and or its core library Azure Storage Data Movement Library, which supports super-fast transferring for blobs, and the transferring can be paused & resumed. This library is based on the core data movement framework that powers AzCopy, which also provides you high-performance uploading, downloading.
There was a similar thread discussion in Microsoft Q&A Forum, can you refer to the troubleshooting steps mentioned over-there and let me know if the issue still persists.
Additional information: There is no throttling on the Azure side below the published 60 MB/s scalability target for a single blob. If the network and client machine can handle the traffic then we will send it.
Hope this helps! Kindly let us know if the above helps or you need further assistance on this issue.
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