LONDON — Just past the entrance to the airy headquarters of The Daily Mail, Britain’s pugnacious and politically powerful publication, stands a sculpture of three small spheres with wings. The title is hidden away on a small plaque: “Bullets of Information.”

Quite.

Few papers in the run-up to the Brexit referendum weaponized the tabloid tools of rumor, innuendo and invective like The Mail, whose lurid, factually murky warnings of immigrant violence and European Union evils helped tip the Leave campaign over the finish line. The paper’s pro-Brexit agitating is often Exhibit A in liberal Londoners’ worries over the effect of “fake news” on the outcome of that 2016 vote.

So it was a little strange this month to find The Mail praising Prime Minister Theresa May’s “tireless struggle to secure an orderly departure” from Europe, even as hard-line Brexiteers objected to her compromise approach. Or to read an editorial warning that exiting the E.U. without a negotiated plan — a so-called hard Brexit — could prove “catastrophic.”

In October, the paper labeled some pro-Brexit members of Parliament “saboteurs” for their refusal to consider Mrs. May’s compromise — possibly confusing Mail readers, who a mere 18 months earlier received a front page declaring the anti-Brexit forces “saboteurs.”