Как указано в ссылке , azure табличное хранилище не поддерживает Azure MSI, а поддерживает только Shared Key (ключ учетной записи хранения) и Shared подпись доступа (SAS) .
You must use Shared Key authorization
to authorize a request made against the Table service if your service is using the REST API to make the request.
To encode the signature string for a request against the Table service made using the REST API, use the following format:
StringToSign = VERB + "\n" +
Content-MD5 + "\n" +
Content-Type + "\n" +
Date + "\n" +
CanonicalizedResource;
You can use Shared Key Lite authorization
to authorize a request made against any version of the Table service.
StringToSign = Date + "\n"
CanonicalizedResource
For more details, you could refer to this артикул .