I think that is indeed the best you can hope for with new labour in control over the tories. Slightly less backhanders and tax breaks for the already stupidly rich.
I don't expect anything far left of centre. I say this as someone that is somewhat centre left (UK centre left to be clear, USAans don't judge me on your political compass), I don't really think I resonate too much with the current labour party.
I think the thing that terrifies me, is that the tory party we had, that pushed through a no-deal brexit (when there were many other less disruptive ways to leave the union available), that has wet dreams about planes flying immigrants to Rwanda weren't right wing enough for our population.
What is the tory party's solution to this going to be? I doubt it will be returning to the centre right position they occupied in the Cameron era. They either accept their death, or move further right. I suspect we'll see the latter. When we find out their new leader, I suspect it will cement their direction for us all to see.