Wat u wilt doen, is de records binnen partities sorteren. De query om te doen wat je wilt is dit :
WITH sorted AS (
SELECT id, ROW_NUMBER() OVER(PARTITION BY ProductTypeId ORDER BY id ASC) as rownum
FROM product
)
UPDATE product
SET [order] = s.rownum
FROM product p
INNER JOIN sorted s on (p.id = s.id);