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Unfortunately that's my expectation.
Labour is quite leftwing at the moment despite the appearance they've tried (badly) to project.
IMHO the main task is to grow the economy (per capita not by adding more people to it...) and unfortunately it is hard to see the incoming government go all in on that.
In addition, the people are actually not that enthusiastic about them. They came in first but with a relatively small share of the vote and the reason they won is only because people did not vote Conservative, and with "first past the post" Labour candidates were elected "by default".
If anything Starmer is even more of an empty establishment career politician figurehead than Blair.