So it's based purely on party labels? Political parties are not static and is clear that Labour has been moving further and further away from a left platform.

I mean they tried to cut benefits for disabled people, supported Israeli war crimes in Gaza and prosecuted pro-Palestinian activism, sneakily increased taxes on the working class, clamped down on immigration to try and undercut the rise of Reform, I am honestly not sure of a single left policy they enacted, granted I haven't been paying super close attention to that shitshow.

Blarite/neoliberal fits them much more I'd say.