求教OG上的语法题

qwqw

Unlike computer skills or other technical skills,there is a disinclination on the part of many people to recognize the degree to which their analytical skills are weak.

A....
B.Unlike computer skills or other technical skills,whick they admit they lack,many people are disinclined to recognize that their analytical skills are weak.
C.Unlike computer skills or other technical skills,analytical skills bring out a disinclination in many people to recognize that they are weak to a degree.
D.Many people ,willing to admit that they lack computer skills or other technical skills, are disinclined to recognize that their analytical skills are weak.
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 technical skills.
选D,我的疑问是,OG上分析E项的错,说have a disinclination....while willing 是grammatically incomplete.请问complete的是什么呢?while 在这里是什么用法？应该怎么用？

siebel

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

WHILE引导让步壮语从句，尽管。