No one is claiming the cartographers are unequivocally wrong. We are claiming that it is foolish to blindly assume they're right without doing any sort of inquiry yourself.
I'm sorry, but I don't see much difference between those two statements. What reason should I have for not believing the cartographer's distances when my car's odometer confirms that a random smattering of distances are correct?
For my part, I don't know how far it is from the Falklands to Australia, nor do I care.
If you don't know or don't care, then what right do you have to question the official RE distance?