I want to hide my store address from absolutely everything and everyone because it's my personal home address. The Settings tag in Shopify admin has a section for store address but it says...
This address will appear on your invoices. You can edit the address used to calculate shipping rates in your shipping settings
Your primary business location could affect which apps can be used on your store. Learn more about app compatibility
How can I ensure that my home address will not appear on any invoices or anything at all?
You cannot do that. Moreover, any app that you install has read access to your shop information which includes the primary business address.
@HealthyLemon isn't it as insecure as it is for your shoppers to buy from a merchant that is looking to hide from them