That's a resident of the CPZ, not of the street. Other permits are available and on the council's website.

Whatever the condition is, it certainly isn't the private=residents which you have used. I have no idea what private=permit is supposed to mean, as it isn't documented on the wiki page for private=*.

This also doesn't cover loading/unloading (delivery in OSM access terms), as it varies between CPZs and needs to be checked against the various traffic orders. I haven't yet captured that either, as I need to add parking:*:zone tags.