Sure, in many aspects we're just creating models that are approximate versions of the way things
really behave, but the question of our solar system's orbit through the galaxy is relatively (ha!) simple. Intuitive sense goes out the window when we talk about gravitation on a scale that large - our intuition with gravity amounts to 'up and down'. We even speak of the Earth orbiting the sun, even though they both orbit around a central point in equal parts, according to mass.
The flatness of our galaxy (and many others, but maybe not most) and our solar systems owes to entropy and the tendency to settle and radiate energy.
This covers it pretty well. Mathematically, this actually gives us a reason to think the universe on large scales truly is 3D (or holographic 2D), as most other sets of dimensions don't possess the capacity for a construct called 'curl', which is what causes things like eddies and tornadoes and anything where a substance spirals in two dimensions and relieves that energy through a third.
...
anyway, the point is that spiraling planetary orbits would just be so blatantly obvious, through redshifting, transverse motion of other stars, internal behavior, and surely all kindsa other shit, it's silly to bring up right from the word 'go'. Like young- or hollow-earthers.