I took it on Mershon's words: The Legion of Christ is NOT traditional, nor are they fans nor advocates of the Traditional Latin Mass. I have firsthand experience with this one, with them as my spiritual directors for years. They are NOT traditional regarding the liturgy and sacraments.
If you take issue with what Mershon wrote, perhaps you should inquire from him as to the basis of the views presented or offer your own perspectives or evidence to the contrary.
All I know is that as a Catholic parent, if I want my child to have a Catholic education and my choices are as follows: public school, diocesan Catholic school or a Legion of Christ school, the choice wouldn't be hard as the first two choices are very similar to one another.
I have blind trust in nothing but God, btw.
I would be more than happy to discuss offline my firsthand experience of their "anti-traditional" spiritual direction and indifference to "traditional" Catholicism.