The term punishment kind of tricky in this context.

Kazdin clarifies these terms in the book. In particular he splits the behavior-changing part from the social/informational part.

In parenting, punishments are typically used incorrectly,..

See the section about punishment disadvantages in the OP.

Kazdin's does not tell parents to never use short-term grounding....

Indeed he is quite balanced on this point. The section on withholding reinforcements could have been more elaborate.