Personally, I alternate between heavy and lighter bullets in the magazine of my handgun when going to the mountains. There are so many varied situations you might face, I thought it might be good to have a light bullet followed by a heavier one, then another light, then another heavy. That way 2-4 shots are ready for anything.
And in direct answer to your question, all the rounds are JHP. The biggest risk IMO is humans, so JHP is the way I go. I shot my fairly large 3-point deer (after downing it with my 30-06) last year in the head with JHP 9mm, 124 grain rounds, and they all went right through its skull and bounced around inside to make mush out of its brain. Sorry for the graphic image, but it was educational for me to see what a JHP would do against a deer skull from about 10-15 feet away. The first 9mm round to the head killed it. The next few were for educational purposes. I skinned part of the head when skinning it so I could see what had happened.