If the compare button isn't appearing on your product pages, work through the following checks.
Go to Settings → Compare Visibility and confirm the Allowed Product Types list is not empty and includes the type of the product you're testing.
The product type must match the Product Type field on the product in Shopify exactly.
If Exclude tag filters are configured, confirm the product you're testing doesn't have any of those tags applied.
If Include tag filters are configured, confirm the product has at least one of those tags.