So I have found that climbing hard definitely affects my aerobic progression. I live in an outdoor mountainous area so it is hard to train and still “recreate” at the same time.
When I was trying to crank up my aerobic volume to 6 hours a week there was fatigue that affected my rock climbing and my recovery suffered. I had to take an unplanned week off just to be functional for work and not in a bad mood all the time.
If building your aerobic base is important to you, dial down the “hard climbing”. Substitute it with easy ARCing for longer periods at the gym, TR soloing, or going out with the family. I found that the easy volume climbing complements the easy volume running/hiking. I also include the ARCing in that weekly volume of aerobic activity.