How to display undistorted vector data around poles

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**mapbox-gl-js version**: 2.11.0

### Question

How to display undistorted vector data around poles? Ideally I would like to display raster tiles or MVT tiles or GeoJSON around poles. I know that with tiles (neither vector no raster) it is not possible because of limitations of web-mercator that tiles assume. The tiles use "slippy tile" indexing scheme, which in turn assumes web-mercator projection, which does not work above 85 (below -85) latitude).

But GeoJSON layer do not have the constraints of tiles. Sadly, when I try to render anything around poles, I get distorted results (similarly as [in this bug](https://github.com/mapbox/mapbox-gl-js/issues/12026))

Examples of distortions near poles (based on [this example](https://docs.mapbox.com/mapbox-gl-js/example/geojson-polygon/)):

### Links to related documentation
- https://docs.mapbox.com/mapbox-gl-js/guides/projections/

Start with the GeoJSON polygon example and the projections guide linked in the issue, then compare the reported behavior with related issue #12026. Investigate how GeoJSON layers are rendered near the poles and determine whether the requested raster, MVT, or GeoJSON behavior fits the current projection design. Done means a documented or implemented way to display this data without the reported distortion.

Written by the indexing model from the issue text.