I fully agree about welding. Getting hands on experience/education in that field can lead directly to a job in that field.
And I fully agree that a student who has never taken an accounting (or Business Finance) class could learn a LOT of useful information by taking an Accounting or Business Finance class or three. But it sounds like this student has already taken some introductory classes in these subjects.
Paying for two more random classes to get a certificate in Administrative Technology or Accounting Technology (not an Accounting degree, mind you) is unlikely to impart any significant knowledge or advantage for this particular student. The “Technology” in the nomenclature leads me to believe this is less about learning actual Accounting than it is a class that introduces students to MS Office or some other software. Or maybe the general basics of bookkeeping or being an office manager.
These types of light introductions don’t do much to help students secure jobs, unless the school has a strong and active Career Guidance department that has working relationships with area employers. Even then, many students will be left without a job in the expected field because no meaningful skills were taught.