Just occurred to me that I refer to the logs quite a lot. If I do a deployment to an Azure Web App deployment slot and swap guessing I lose the logs? If so - is there a away to store to an Azure Blob container / otherwise?

If you need persistent logs, definitely configure Serilog to write to somewhere other than local files as in that guide. Not sure why they're moving saved searches to Azure, they should be fine in the database. Just relocate the logs themselves. Azure Table seems a bit overkill, just use a file location that is persistent or Azure Storage.