It depends on so many things,
What the subject is, on trivial things that do not matter, does it matter? DS told me the Charity Christmas Card shop in York was open on a Sunday. I accepted this because he lives in York and is frequently in the town centre. When we got there it was closed.
How much I already know about the subject and how much the other person knows about the subject they are pontificating on. I have a friend who used to be a Social Security Tribunal Chairman, if she says anything about the workings of the Social Security system, my inclination is to believe her. On the subject of the old timbers used to build her house I do not, because, without a doubt, I know considerably more about the construction and archaeology of old houses than she does - and she is wrong.
*Alegrias,^But then I also believe that googling things isn't research.^
I do academic research and I use google extensively to locate sources, including scholarly articles from learned journals. many such journals and other original sources are available, full text and for free, to be found by using google.
Any source of information whether, paper personal or online needs to be studied and assessed. I spent my working life doing desk research, my skill was my ability to know what sources to rely on and which not to trust.