Does Tadow push fixes directly into my Shopify catalog?

Yes, that is the point of the FIX pillar: once a correction is approved, Tadow writes it directly into your Shopify product pages using the write permission granted during OAuth connection. You do not need to copy changes into your back office by hand. The permissions stay scoped to product pages; Tadow does not touch your theme or any other part of your store. You stay in control, reviewing or editing each correction before it publishes, and you can then re-measure whether it moved your AI visibility.