Smear: NKT students are encouraged to see no faults in their teachers
Truth: This is not true. Blind faith is completely discouraged in the NKT. It is a common teaching in Buddhism to develop some respect for one's teacher as this leads to a humble mind for receiving the teachings. However, Geshe Kelsang has given much advice on this subject, such as the following.
If our teacher appears to do something unusual, we have to ask them about it to find out why because the teacher may have made a mistake. If they are getting angry, we can say, “Please calm down.” Teachers and students need to help each other to grow spiritually which cannot happen if students ignore a teacher's obvious faults. Students can respectfully point out such faults if there is benefit in doing so.
Please see the following article for more on this subject:
Relying upon the Spiritual Guide in these modern times