This is awesome and really helpful.
My current setup is an equirectangular image (only top-half of the image being rendered, kind of 4:1) and converted to Polar (which is the format requested for the Dome projection).
A few technical details must be solved in-situ since the Dome has a 20º inclination. But i guess this setup is the winner so far (currently checking the file you kindly shared; this might be as well, another way to go).
I am really grateful for your kind support Dr. Helped me A LOT !!