Получавайте почасови данни с пропуски от полунощ до сега

дясното присъединяване е правилният подход, но вие използвате колони от clicks таблица в оператора where. Вместо това поставете филтъра в on :

SELECT CONCAT(Hour, ':00-', Hour+1, ':00') AS Hours, IFNULL(COUNT(product_id), 0) AS `total_count`
FROM     clicks
  RIGHT JOIN (
               SELECT  0 AS Hour
         UNION ALL SELECT  1 UNION ALL SELECT  2 UNION ALL SELECT  3
         UNION ALL SELECT  4 UNION ALL SELECT  5 UNION ALL SELECT  6
         UNION ALL SELECT  7 UNION ALL SELECT  8 UNION ALL SELECT  9
         UNION ALL SELECT 10 UNION ALL SELECT 11 UNION ALL SELECT 12
         UNION ALL SELECT 13 UNION ALL SELECT 14 UNION ALL SELECT 15
         UNION ALL SELECT 16 UNION ALL SELECT 17 UNION ALL SELECT 18
         UNION ALL SELECT 19 UNION ALL SELECT 20 UNION ALL SELECT 21
         UNION ALL SELECT 22 UNION ALL SELECT 23
  )      AS AllHours ON HOUR(clicked_at) = Hour
  and   ( clicked_at BETWEEN CURRENT_DATE() AND NOW()  OR clicked_at IS NULL ) AND clicks.site='awesome-site.com'
GROUP BY Hour
ORDER BY Hour