To export the conversion rate by page with EZ Exporter, create a Data Settings for "Analytics" data and use the ShopifyQL query below:

FROM sessions
  SHOW online_store_visitors, sessions, sessions_with_cart_additions,
    sessions_that_reached_checkout, sessions_that_completed_checkout, pageviews,
    conversion_rate
  WHERE landing_page_path IS NOT NULL
  GROUP BY landing_page_type, landing_page_path
  SINCE startOfDay(-30d) UNTIL today
  ORDER BY sessions DESC

This will group the data by landing page and provide the total number of sessions, how many of those sessions completed checkout, and the conversion rate per page.