About 'flying to please the judges', Howard already pointed out what the real situation is.
FAI judges are expected to recognize the correct shapes from various angles. AMA judges are just the same (I hope...

).
In a way it's like learning to draw 3D objects on a flat surface, using perpective, projection and what more.
Some people get it real quick, while others..... I think of myself as average, but ok.
A very useful, read: indispensable, tool is Keith Renecle's simulator program in which the viewpoint can be adapted.
You can train yourself at viewing from angles up to 15 deg. and still getting it right. Not ideal, but doable.
I'm honing my skills at least once a month throughout the year, but generally more often, especially before something as important as a European Championship.
Would be a bad thing if I didn't, I'm one of the judges in this movie......

About the triangles, I've seen many that had top corners of almost 90 deg., so I understand that many people would classify a correct triangle as 'too steep'...