Looking at the tags you've added in this changeset, I think there may be a couple of problems.

1) access=no + motor_vehicle=permit means that the road may not be used by *any* means of transport other than motor vehicles with a permit which "is ordinarily granted". This seems unlikely. You've added permit=residents, but if this really were the case the only access tags you'd need would be:
motor_vehicle=private + private=residents
I can't find any traffic orders which restrict access to Thorney Street. I'll be running nearby tomorrow and will check what signs (if any) are in place at Thorney Street's junctions with Millbank and Horseferry Road.

2) The tagging which you've used for parking restrictions was deprecated at the end of 2022. Please could you adapt this to the current scheme described at
https://wiki.openstreetmap.org/wiki/Street_parking