Matt,
Do you have a copy of Training for the New Alpinism? It spends a lot of time talking about the concept of strength as it applies to a given sport. Worth your time I think.
Let me start by saying that I’m speaking from my experience and don’t know your background or history so this may not apply to you, but here are my thoughts on it.
I am a former longtime Starting Strength follower and in those books, Mark Rippetoe talks about the opposite issue – how to add conditioning when your focus is 5RM and 1RM in the big three lifts. He says you can’t do both max strength and heavy cardio at the same time effectively. What they do allow is sprinting and HIIT which is the opposite of the UA philosophy. Mark Twight talks about this at length in the intro to TFNA
I remember how hard I worked to get to 2xBW on the squat, breaking 4 plates on DL, etc, at 185# but I think if you are running 8 hours or more a week (which you must do and then some to drive your CTL to 80+, remember to get to 80, you’d have to get 80 TSS 42 day in a row, or approximately 2 hours a day of AeT for six weeks), you are going to lose 1RM strength almost inevitably (I doubt even the most sophisticated hormonal supplementation plan could preserve max strength in the face of all that running). Plus the neurological toll of all that heavy lifting is extremely taxing too.
But you will already be more than strong enough to handle anything a mountain would throw at you by virtue of your strength reserve (ie, 365 x 5 = BW x 20+, depending on your BW of course).
Just my thoughts of course. But the two goals are kinda incompatible. You end up progressing in neither although you’re working your ass off.