TfL have announced that following the recent consultations they plan to go ahead with the proposals, albeit with some minor changes and additions.

You can see full details here https://consultations.tfl.gov.uk/roads/cable-street and here https://consultations.tfl.gov.uk/roads/horseferry-road

Overall it seemed that the majority of respondents were cyclists and that the majority supported or partially supported. It's worth noting that the number of people responding was quite low (90 and 57 respectively) so it does show that individual cyclist responses can be quite significant.

The consultation report is available for Cable Street but it seems not yet for Horseferry Road.