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I've moved this post to the Server Admin section of the Community where you are more likely to receive a helpful response.
My hunch says that you cannot do both as having edit permission would allow you to save and own a new workbook, thereby enabling downloading. But I could be wrong.
Diego is spot on - once you allow someone to save a workbook, you essentially give them the ability to become owners of that workbook.
So there actually wouldn't be much point in separating Save As with Download because even if Download was denied, users could just Save the workbook and then download it - since at that point they've become the owner of the workbook.
Rules for Grant Web Edit, Save, and Download Permissions. This is for the current version. Given your screenshot I see Inherit so that tells me your version is less than 9.0 so please refer to the documentation for your version at Tableau Help | Tableau Software
Check User Permissions can help, along with a dummy/test account.