First of all, I couldn't find a feature request like this one. If there is one, my sincere apologies.
I noticed that view.phtml and list.phtml have an IF-statement that checks the stock availability of a product before showing the Add-To-Cart button. However, when I use 'Allow Qty below 0' and 'Show Out of Stock products' I would like to see an option to configuratie the Add To Cart button so I can choose to show it or hide it for products with < 0 in stock. Both as configuration in general or product specifiek options.