A lot of policies that are considered Right today were Left back in the day.
It was the Labour Party and unions that were pivotal in keeping us out of the Common Market/EEC, only pivoting to being pro Europe in the late 80s.
The Left were historically way more stable borders than the Right were.
Both of these weren't for any principles necessarily, flows of low paid workers undermined British unions bargaining rights with employers all thru into the 70s/80s.
The trad Left would have had no truck with TRA rights, correctly seeing it as a confection, selfish "body politics", and a distraction from class based and sex based Left analysis of society.
Do you think Harold Wilson, Tony Benn, Dennis Healey, early Ken Livingstone, Bob Crow, Arthur Scargill etc would have had any time for Rick from Young Ones shouty student lefty politics in jettisoning girls and women?
Not for one instant.
The interesting change in politics since identarianism and intersectionalism mediated thru globalist capitalism took over from class/sex based politics about two to three decades ago, is that the Right have capitulated to the Left on social issues (Cameron, May, Johnson, Truss, Sunak have made precise zero progess in deStonewalling our civic institutions, indeed allowing the activist Left to infect the civil service, QUANGOs, British Arts Council, NHS management, DfE etc), while the Left have capitulated to hyper globalisation and the boss class, and instead of looking to change the world, just content with the tearing down of UK PLC via decolonisation directives, and the racialisation and genderisation of public policy.
The Left have given into capitalism, and the Right have given into the Left.