Is it safe to hike timp with my golden retriever

I’ve done timp more times than I can count. I have a young golden retriever who is super energetic/ athletic. We trail run together all the time. Grove creek to Battle Creek loop, red rock canyon/ Provo peak, Bonneville shoreline, Mount Olympus etc. he even helped me train for my marathon (2x/week 4-8 miles for him) I would not go past 8 because I didn’t want to hurt his joints.

I know the mountain goats are wild/ protective, so of course I will leash him up.

I’ve just seen a post where most people say don’t bring them. I just want to get anyone’s opinion on this.