I don't know about DNN 8.x, but in DNN 9.x, there are two completely different sets of logs:
- In the PersonaBar (admin screens) you find the admin logs, which I believe are pulled from the database.
- On the filesystem you'll find Portals\_default\Logs, which are generated by log4net.
They're not the same thing at all, and the second set of logs never show up in the admin screens. I imagine you can move the second set to azure blob storage. But the ones on the admin screens are unrelated.
Someone else will have to confirm if that is also true in DNN 8.