What about with a referendum?
Maybe but again despite several campaigns parliament has never even come close to approving one. Essentially its a dead duck in the UK. For every horrible crime that sparks some demands in the press there's a miscarriage of justice where it would have had tragic consequences.
One important factor in abolition, and in keeping it abolished, may have been declining trust in the police and courts, the loss of the belief in them as impartial arbiters of the law.