Secondly, it's not telling people to exercise critical thought. It's reminding them (and they are not all retired British teachers who know this perfectly well) that the once-prestigious Times is no longer a newspaper of record but part of the Murdoch empire.
Hey, and it also makes some people smile! :-)
I still think it encourages prejudice rather than critical thinking.
"What is needed is not the courage of one's convictions, but the courage for an attack on one's convictions." Nietzsche
So more useful might "One of our pals - be especially critical - alert" :-) Maybe it's because I'm a Londoner - that I moved to Nice.