27.0 - Thin rotated layer renders as sheared slivers and the rest of the layer is missing

Issue
A layer scaled to a very small X scale (about 1% or less) and rotated to an angle away from 0/90/180/270 doesn't render as a thin straight line. It renders correctly for part of its length, then turns into a stack of sheared, saw-tooth slivers, and everything past that is missing. It happens on a plain solid in a brand-new project.

Steps to reproduce

1. File > New > New Project.
2. New Composition, 1920x1080, 30 fps.
3. Layer > New > Solid, 3840x2160, any colour.
4. Unlink Scale and set it to 0.32, 100. Set Rotation to 252.5. Leave Position at the comp centre.
5. Set the Composition panel's Resolution to Full.

Or open the attached thin_rotated_layer_slivers_v001.aep, which opens on this setup with a note in the comp.

Expected result
One straight, thin (~12 px) line through the centre of the comp, edge to edge.

Actual result
A clean line from the left edge to about a sixth of the way across, then a stack of sheared slivers, then nothing for the rest of the layer.

At Resolution Full, X scale 0.32%, 0.45% and 1% all break; 2% and above render correctly, and so does Rotation 5°. It's the same on all three renderers, at 8 and 32 bpc, and with a shape layer inside a precomp instead of a solid. Lower Resolution settings hide part of it.

This looks like the same problem as https://community.adobe.com/t5/after-effects-discussions/help-needed-scaling-visual-error-glitch/m-p/11382854 (2020), which was answered in Discussions but never reported as a bug.

Screen recording: ⚑ none / attached
After Effects version: 27.0 (Build 78)
Operating system: Windows 11 Pro for Workstations 26H2 (build 26300)
GPU driver: NVIDIA GeForce RTX 4090, 621.14
Does it affect all projects / new projects? Yes, it reproduces in a new project.
When did it begin? ⚑ Not known.

Attached: the project (one comp, one solid, one text note), a frame of the broken render, and the same frame with Scale X at 2%.