DawidKreator Bulk Category Editor for WooCommerce extends the built-in Products Bulk Edit screen with category actions:
Operations affect only the exact categories you choose. Parent and child categories are never changed unless you explicitly select them. This plugin does not create categories and does not change the WooCommerce default category setting.
WooCommerce always keeps at least one category on a product. If you remove the last category, WooCommerce puts the product back in the store default category. That is normal WooCommerce behaviour, not a plugin bug.
If you need products “out of” the default category, create your own category first (for example New, Unassigned, or Inbox) under Products Categories, then use Replace (default your category) or Add that category before you Remove the old ones.
After you click Update, a confirmation dialog shows what will change. Categories are then updated in small batches with a progress bar, and the other bulk edit fields (price, stock, etc.) are saved by WooCommerce as usual. The confirmation for Add can be turned off per user; Remove and Replace always ask.
No extra admin menus, no custom product screens, and no changes to storefront behavior.