I clearly remember college professors putting limits on what online resources we could/could not use. For example, the teachers often limited online references to 2 or 3 per assignment, with the other references coming from books, papers, etc. Some teachers even required that online references end in ".org" and one other (I can't remember at the moment). However, that was several (cough...ahem) years ago.
FWIW, my kids are young. We are no where near the research paper stage. However, I do make my 2nd grader look up vocabulary words in an actual dictionary...as opposed to saying "Ok Google, what does amiable mean?" I think it is important to have kids "dig" for information.