The nomenclature is really messy across countries and even sub-country entities. The Portuguese language Wikipedia even highlights the mess:

Nomenclature diversity across countries. // Some surveys estimate protected areas in different countries and regions are called by at least a hundred names, and not uncommonly countries have their own categories of protected spaces, roughly similar to the protected space concept defined by the IUCN.

From that I guess the restrictions associated with those spaces also change, and in some you aren’t supposed to remove local fauna and/or flora.