Double-checking, I noticed that fields like tags and product type on the product object created by HIC Sync Made Easy are present, but the data inside those fields is missing.

Yes, if you notice that fields like ‘tags’ and ‘product type’ on the product object created by HIC Sync Made Easy are missing data, you will need to add mapping for those fields. After adding the mapping, you can re-initiate the batch sync to populate values in those fields accordingly.