Johnny,
In most instances, the school does not need to submit instructor applications to the TWC; unless instructed to do so or, if the school needs to submit a variance request. If an instructor feels out of tolerance or lacking in a particular subject, then it would be better to find a qualified instructor. The variance is designed for an instructor you believe is qualified to teach but does not meet the specific stated criteria in the TWC CSC rules and, per the TWC instructor application.
JP Mehlmann