The fundamental problem is that the government are in a state of blind panic and are flailing around, based on data that is often contradictory and advisers who can't always agree amongst themselves. As others have said above, a 'doubling' of infection rates may simply be an increase from 1 to 2 cases.
For example, calls to 111/999 reporting COVID symptoms (which you would expect to be a good indicator of a rise in infections nationally) continue to fall steadily.
People have lost confidence and trust in what the government is telling them so they either hunker down at home and go out as little as possible or, in some cases, they simply ignore the guidance and just decide to live their lives.