We just checked maps yesterday and the current Bear layout only has six holes for sure the same as my original design and three more that might be close without seeing them in person yet. So I'm not sure what the par would be on the current layout or perhaps the 71 listed is accurate. It's likely close from what I've heard from players over the years.
I think Bear is easily par 72 (though partly due to the lack of upkeep and terrible baskets). Maybe more. It's significantly harder than, say, Wilderness long to long, or Rollin Ridge Black to Black.
I've played it twice keeping score and shot 79, 81.