lions/lioness hunt as a pack or as a pride

I know that a group of lions is called a pride. In the context of hunting, should I say "they hunt as a pack" or "they hunt as a pride"? Which one is the right usage ?

The more common expressions are “hunt in pride/s”, “hunt in pack/s”.

From The Hunt - Page 25 Alastair Fothergill, ‎Huw Cordey - 2015 - ‎

So why do most of the Serengeti's lionesses still hunt in prides? There seem to be two key reasons.

From: Gir Forest and the Saga of the Asiatic Lion - Page 120 Sudipta Mitra - 2005

Unlike in Africa, the Asiatic lions do not hunt in pride and often stalk the prey individually. In Africa, the lions are adapted to hunt in prides where...

From howitworksdaily.com:

Why do lions hunt in packs but tigers alone?