The ol' "No True Scotsman"[1] defence, eh?
Like when Trump got elected and one of his campaign slogans was how Harris was going to start a new war, then he proceeds to start one himself, would it not be fair to say he was "anti-WoT in name only"?
Remember, Starmer won with three million fewer votes than Jeremy Corbyn got! And nobody claimed Corbyn wasn't far left. It was called the "loveless landslide" because so many voters just turned away in disgust at what British politics had become, allowing Labour to win by default rather than because they were popular.
Partly this happened because many of the supposedly Conservative MPs preferred a Labour government to giving their own voters what they wanted. Sunak called a surprise snap election to deliberately ensure Farage (the only competitor on the right) would have almost no time to prepare.
You'll see the exact same thing play out in the U.S. midterms in a few months.