The question is: MUST you use troffers ("lay in fixtures") to provide light through a suspended ceiling?

I recently saw a home with a finished basement. A suspended ceiling was installed. for lighting, ordinary strip fixtures were installed to the 'hard' ceiling above, and lens panels were put in the grid underneath the fixtures.

(I always wondered why I always had to trim the home-center lenses a bit!)

Details of this specific installation aside, it made me wonder if there was anything wrong with the very concept.