That fixed it.
This kills my rendertime, and doesn’t look quite as nice; but frankly it is better than resizing the shapes in the precomp to make them large enough to not need Continuous Rasterizing.
I have hundreds of these precomps and they’re each used at different sizes in multiple locations. Add to that this project was built a year ago by a different person and that was just a daunting option.
Thanks! Problem solved, if not ideally.