Just stick to the issue at hand, and don't mind my person. We don't need to take in any summer solstice, just the sun's daily apparent path. I don't see any fundamental error in what I have said, even if the circle that the sun makes isn't exactly the same as equator, because the Earth's axis of rotation is tilted, it is still a circle around the earth. On this circle sun is once a day overhead. And therefore the rest of what I have said is still valid.
Well except for one thing. Your location for Mt Sumeru will not logically land on the North or South poles, it would be on the ecliptic pole, thus it would be somewhere on either the Arctic Circle or the Antarctic Circle, which means there is about an 80% chance the location prescribed by your scriptural analysis is in open ocean. Worse, due to precession, that location migrates around the (Ant)Arctic Circle once every 23,000 years or so, which in turn means that Mt Sumeru, wherever it is, has moved hundreds of miles since the time the scriptures were first written down.
Now we know that the location can't be the north pole for the simple reason that there is no land for hundreds of miles, maybe even thousands, around the north pole. And it can't be at the South Pole because the area is essentially flat for hundreds of miles in all directions. It can't be on the ecliptic poles either, as shown above, because that gives us a wandering Mt Sumeru. In short, there is no reasonable location for Mt Sumeru on this planet.
The matter is very simple: Sun goes around Southpole in a circular path. Because the Earth's axis is tilted, the centre of this circle is not exactly in the Southpole. That the centre of this circle wanders a little during the course of time is true ofcourse. But Mount Sumeru is in the Southpole because indian buddhists, like the writers of Abhidharma, knew that when it is day in Jambudvipa (ie India), it is night in the Kuru Continent (ie South America). Southpole is thus the only logical
alternative for Mount Sumeru.
Mount Sumeru is blue in the daytime, and it is the sky overhead, it is not something else. The blueness of the sky is what we humans see of Mount Sumeru, this was said in the teachings of Ngondro in Dhagpo Kagyu Ling in 1990's, by a Lama that is called Omzela. I had heard this same thing before, about Mount Sumeru and the blue sky, it is not something unique to Lama Omzela.
Logically then the crystal side of Mount Sumeru is the night sky; crystal is transparent and therefore we see into the space at night.
The teachings do say that it (Sumeru) turns around slowly. Thus also the axis of Earth's rotation
is a logical place for Mount Sumeru.
Ecliptic pole http://en.wikipedia.org/wiki/Ecliptic_pole