Labour have no problem with it, just the same as the Online Safety Act which is causing chaos right now. They're fine with the legislation and have never expressed a desire to see it repealed. They didn't even do much to prevent it in the first place.
This is what the parent comment is getting at when they say "Tory-lite".
Are you still under the impression that different political parties will actually do diffrent things? It even sounds like you think Labor are 'good' and the Tories are 'bad'. I think you may change this opinion after the next 4 years.