png/webp (just as jxl) can store thumbnail in their meta, but no operating system, gallery, browser etc uses that because it has no usage that is safe.
I am not sure how easy it is to create a jxl image that starts differently from how it ends. If it is super easy then I expect programs not relying on it for thumbnailing (especially that they already have a way to generate and store thumbnails). Maybe browsers will support progressive loading, but it has no use for local images.