I agree with you. They are not coordinate adjectives. 但我覺得在這裡逗號可加可不加,文法上順序符合規則就不用加,但是為了方便閱讀或是某些人的書寫習慣大部分會加,例:She was a beautiful tall thin young Scottish womanShe was a beautiful, tall, thin, young, Scottish woman.兩個都對,但連劍橋字典都加逗號了:
https://goo.gl/Pnyp7e