With all respect, I think you may be over-analysing this one. My reason for saying so is that the loading on the poles varies a huge amount, depending on the weather and how the guys are set. There is no single situation.
Strong sideways wind: high sideways loading from the fabric to the poles, but properly set guys take a lot of this load. However, if the tent moves, then there is a fair bit of variation in stress at the top of the poles.
Snow loading: high sideways loading, but in the opposite direction, bulging the poles outwards and taking stress off the middle section. Here you need the horizontal internal guys.
> it appears that the actual static stress on the hoop is almost all tension
Not so. There will be high stress on the outer part of the pole, but there will be roughly equal (matching) compression on the inner part of the pole. 'Outer' means on the outside of the curve, 'inner' means on the inside of the curve. However, if you look at the failure modes of wrapped poles and pultruded poles, you find different things. Here the structure of the pole itself comes into play.
Pultruded poles split full length when bent. This is because the plastic or epoxy holding all the fibres together fails down the middle. It is actually quite weak. But it means that the compressive forces are very significant, and this translates into a high shear force on the epoxy.
Wrapped poles fail with an abrupt break at right angles, when the fibres on the very outer face fail in tension. The shear forces are handled by the 2D wrapping.
I have had poles fail at the top of the arch and half way down the sides. Yes, both positions - but under different conditions.
Hope this helps!