Products fetched from Magento through the commerce-cif-connector are not persisted under 'var' node structure on AEM(version 6.5). We could see that the we-retail product data are persisted inside var node structure under path: /var/commerce/products/we-retail. But the product's data coming in the Commerce GUI from Magento are not persisted. Could you please let us know how the Catalog rollouts work for Magento related data.
Correct commerce solutions integrated into AEM using CIF do not persist any product data in AEM any more, this is by design.
This is not needed any more with CIF as the catalog is driven and controlled by Magento, no need for a shadow catalog in AEM. With the latest release we also support multi template pages for category or product pages, see: Configuration · adobe/aem-core-cif-components