I agree with you. They are not coordinate adjectives. 但我觉得在这里逗号可加可不加,文法上顺序符合规则就不用加,但是为了方便阅读或是某些人的书写习惯大部分会加,例:She was a beautiful tall thin young Scottish womanShe was a beautiful, tall, thin, young, Scottish woman.两个都对,但连剑桥字典都加逗号了:
https://goo.gl/Pnyp7e