How a website looks does not make it reputable and yes they condense about 25 pages of visa law into one short paragraph.
You can legally work part-time on campus. You may also work off campus if necessary (with prior approval from the USCIS)
True, however you may only work after gaining approval and in your field of study. You may do so for one month for every 3 months you have studied.
But you still need to apply for approval.
And I really don't see what work you are going to do in 2 months after a 6 month 0- CPL course.
Washing airplanes at the school maybe?
Keep in mind that an M1 is not a aviation specific visa. Never has been and never will.
This means that under M1 visa law there are a lot of specifics that do not apply to aviation in any shape or form.
Internship, study field related work etc etc etc.
This is one of the reasons as to why this whole flight training on a visa is so convaluted.