【求助】OG11th-68 while的用法

(e)Many people have a disinclination to recognize the weakness of their analytical skills while willing to admit their lack of computer skills or other techincal skills.

解释说这里的while用的不好，因为结构不完整。

想问一下，结构不完整是说while后应该加完整的句子，还是说因为前面没有are所以不能省略are，因此不完整呢？