Mapping selected statuses is supported for the WooCommerce online store. Functionality operates in the following direction
"Order Management ->WooCommerce online store".
In additional settings of one of your online stores, activate the function " Add mappings for status changes from Order Management to online store."
Configure the mappings and save your changes at the end.
When changing the sales orders statuses in Order Management, the status will be mapped to the orders in your online store accordingly. However, only for the selected ones.
Functionality is configurable for each online store and is not dependent on the other online stores.
Note: Functionality is supported only for sales orders.