Yeah. "Small-c conservative". Starmer seems to have decided that the path to victory is to copy Tory policy and attitude as closely as possible, hoping that this will get him favourable press coverage or support from the particular set of "floating" voters in marginal constituencies that he needs.

But the Labour party have never been especially liberal. They're just as likely to enact controlling social policy. And, again, the press are extremely illiberal, they're likely to campaign for more surveillance.

(Don't try to jam the American two-party lens onto UK four-plus party politics, it will not help you make sense of the actual situation).