The answer is 'sort of' - the Labour Party is essentially two parties in one - there are Blairites (to the centre-left) and the Corbynites (the far left). Most Muslim voters and progressives are inspired by JC and the Far-Left of the party - and when Blair/Brown were sent packing in 2010, restrictions on party membership were slackened. This allowed a lot of far-left candidates and trade unionists back in and over Corbyn's tenure it created a problem with anti-semitism. Young voters loved Corbyn for his idealism, the far left loved him for his Hamas support - that has been the Frankenbaby created after October 7th. That aside, the public roundly rejected him and he was eventually replaced by Sir Keir Starmer.

The equivalent would be having Bernie Sanders running against Trump between 2016 - 2020. He might be able to create a very vocal progressive movement, but he'd struggle to actually get elected because of the numbers - you have to move to someone closer to the centre as a compromise to tempt the moderates from the other side. Sanders and Corbyn are cut from the same cloth, they bring their own team further left but they'd be terrible in Government. Corbyn is an excellent rabble-rouser, but he's not a PM. His tenure was loud but chaotic and his statesmanship was poor. He's an opposition politician with very few of the skills to run a country.

Starmer is keeping things close to his chest - he wants to stay in the centre ground and be a credible leader in waiting. It's turning off the progressives at an alarming rate but I don't think it will matter when it comes to grand strategy.