I took my Kuiu Chugach jacket and the HH rubber jacket on my moose hunt. I wore my Chugach 100% of the time while hunting. Simple reason, it was breathable and wouldn’t get shredded climbing spruce. The only time I wore my HH rubber jacket was after I had shot my moose and went to the river to stand in one spot and fish for salmon.
The HH is the clear cut obvious choice if you want 100% waterproofness no matter how long the exposure to rain. I would not consider hiking around in it however. It does not breathe at all.
There are obvious excellent goretex/waterproof jacket makers that are not in the hunting market (Arc Teryx, Miuntain Hardwear, OR, Marmot, etc) however finding one that is half as quiet as the hunting intended brands can be a little difficult. My Arc Teryx shell is no doubt the most waterproof jacket I own. However it’s like putting on stiff cardboard and can be heard from a good distance away. That may or may not matter but just be aware of that fact.