Thank you!
I was originally using polylang and its additional plug-in for WooCommerce. I have unfortunately noticed that the system would not treat two versions of the same product (say English and another language) as one when it comes to inventory. Therefore, having two or more languages would mean to have two or more separated shops which from an inventory point of view is madness.
Does your woocommerce-qtranslate-x plug-in treat products’ translations as one product, therefore presumably using the inventory of the product in the default language? ??