I agree in principle, but there has to be a balance. Nobody can be an expert in everything, many things in the real world are hard or impossible to verify for ourselves, etc. so we need some amount of trust in those we get information from.

I would hope this caveat is obvious, but unfortunately such "question everything" narratives are also commonly spewed by antivaxxers, flat earthers, the alt-right, etc. alongside the classic "do some research".

I think this is summed up nicely by "skepticism doesn't mean denial", or the more pithy "don't open your mind so much that your brain falls out".