I have friends in Liverpool and I have not heard this from them. They are sad at her passing and made no mention of her Politiical views.
When you think about it, just how many famous people have come from poor roots made good and have not had to follow the poltics of their parents?
I voted Labour and thought Tony Blair was wonderful. After voting for him, in the following years, I realise he was more Tory than the Tories. I think a lot of people realised that and felt totally let down and disillusioned with the Labour Party. Maybe Cilla did too?