National Parks and National Forests are two completely different things.
Carry is legal in National Forests unless the state has specifically banned carry there.
In NH this means you can carry in the National Forest but not in the buildings owned by the Federal Gov (ranger station, visitors center etc).
Firearms are currently banned in National Parks but a lot of people are trying to change that (which is all the hoopla you have been hearing).
Must be a misprint-White House favors CC in Nat'l Parks??