This is reminding me of another thread where someone was having a similar problem due to non-manifold geometry.
There’s other examples too, but this is what this geometry reminded me of:
Looks like that’s also some of your geometry, so maybe there’s another technique that will achieve the goal better.
This here is definitely an issue:
Is this design intended to intersect at one point?
Untrimming helped a bit:
I’m seeing weird render mesh behavior I don’t think I’ve really ever seen before, at least not like this, it’s dynamically moving around (per each zoom change interation), in and inverse sense…
at nano scale o’ course 
bbl 