The small shag on the driftwood didn't look quite right. Instead of a white chest it had an all-black body with just a white throat. It turns out it was a native Kawaupaka | Little shag:
A small shag with a short yellow bill, black feet, a relatively long tail and multiple plumage variations.
For comparison, here's a photo of a Kawau | Pied Shag at Waikawa Beach. Plenty of white, and a grey bill.
There's also the Kawau Tūī | Little black shag to be seen sometimes. It too has a grey bill.