Bug Out of stock without stock management

There are two types of Out of Stock:
1. There is stock management and stock became zero and the product was (automatically) set to Out of Stock status. Out of stock with stock management activated.
2. There is NO stock management and the shop manager sets the product Out of stock manually. Stock management is not set and WooCommerce stores the product out of stock without stock management being set: Screenshot of product “Out of stock” without stock management

In case 1 this plugin shows correctly the Out of Stock indication, NOT in case 2.

Obviously the work around for the shop manager is to activate stock management set the amount to 0.