None of those roads would ordinarily be tagged as highway=cycleway. They are pedestrianised streets, which is exactly what a highway=pedestrian way is intended to represent.

I concede that access on the section of High Street between Skinner Street was already poorly tagged in respect of access, but this is not an improvement.

Assuming that the signage in the Bing street side imagery is still current:

East of the junction with Skinner Street:
1) There is a TSRGD diagram 618.3B sign, "Pedestrian zone, no vehicles, except for loading midnight-10.30am 5.30pm-midnight, parking restricted at any time"
2) There is a TSRGD diagram 951 sign "Riding of pedal cycles prohibited" (arguably redundant redundant, as bicycles are vehicles and already prohibited by the first sign).
3) There is a TSRGD diagram 952 sign "One-way traffic"

West of the junction with King Street:
4) There is a TSRGD diagram 616 "no entry sign"
5) There is another 951 "Riding of pedal cycles prohibited"

The effect of this is that the correct tagging on that part of High Street should include:

oneway=yes
vehicle=no
vehicle:conditional=delivery @ (19:30-00:00;00:00-10:30)
parking:both=no
parking:right:restriction:conditional=loading_only @ (19:30-00:00;00:00-10:30)

https://www.bing.com/maps?cp=51.387485%7E0.544781&lvl=20.3&mo=om.1&pi=7.2&style=x&dir=302.4
https://www.bing.com/maps?cp=51.386826%7E0.54837&lvl=20.3&mo=om.1&pi=3.2&style=x&dir=268.1

I haven't reverted your changeset, as it is possible that access provisions have changed since the imagery was collected. Please can you confirm whether or not this is the case?