I don’t see much consensus on very strenuous aerobic exercise and whether bad for glaucoma or not...
The research I have seen done on glaucoma and exercise is (in my opinion) often flawed and poorly done. I have been critical of some of this research since I started FitEyes in 2006. Here is one blog post I wrote in Nov 2006 that is still relevant to this topic today:
Weight Lifting Lowers My Eye Pressure | FitEyes.com
Ophthalmologists who briefly read papers like that may tend to discourage their patients from even moderately intense exercise (such as weight lifting), when in fact, proper weight lifting can be used to help manage IOP (because in many patients it safely and effectively reduces IOP very quickly). That's just one example of how the published research may not adequately address a situation like the one you describe.
Also, keep in mind that the majority of glaucoma patients are older; many researchers may not even recognize the importance of this level of exercise to glaucoma patients. But in the FitEyes community, exercise is of great interest and many FitEyes members do exercise very intensely.
I don't believe you will find adequate research on "really strenuous AEROBIC exercise" (or any other type of extreme training) and glaucoma. You are going to have to extrapolate.
really strenuous AEROBIC exercise
...climbing a mountain at altitude
While extreme exercise and its long term impact on glaucoma have not been adequately studied as far as I know, there are multiple studies on altitude and glaucoma. NASA has even done some research on this topic. Here's one paper that will interest you, if you have not already seen it:
Intraocular pressure during a very high altitude climb - PubMed
However, that paper doesn't directly address your question. You will have to consider the effects of extreme exercise on general health and make educated guesses about the impact on glaucoma.
Here's my personal opinion. I guess I could fairly call myself a form "extreme athlete", so I think I understand that perspective. Knowing that exercise is generally good for us, like many people I assumed more is better. I discounted the common medical advice to exercise in moderation because I thought of that advice as inadequate for a person with sophisticated training knowledge and a lot of experience as a competitive athlete. (Also, I was able to find flaws in many of the earlier studies, so I felt comfortable dismissing the common medical advice.)
However, over the past few decades we have accumulated a mountain of much better evidence that pushing ourselves too hard in exercise is indeed harmful to our health. While moderate exercise promotes health and longevity, extreme exercise can tend toward the opposite outcome. There is simply too much good evidence pointing to that conclusion for me to deny it now.
If overall health and longevity are your top priorities, you may want to avoid pushing your body to the extremes. On the other hand, pushing ourselves to the extremes adds an element to life (for some of us), so it is a very personal decision.
Fabulous response, David. Your encyclopedic knowledge is such a gift to the community, and I'm so grateful you share it so generously and have added this Ask FitEyes site to harvest it for future consumption!