Here's a little article which highlights jxl well. https://chipsandcheese.com/2021/02/28/modern-data-compression-in-2021-part-2-the-battle-to-dethrone-jpeg-with-jpeg-xl-avif-and-webp/

I do not think it's mentioned there, but I think webp and also it's indirect successor avif afaik, both lack progressive loading which is not optimal for website loading. It's has incremental loading which I think is akin the the old dial up time of loading top to bottom row for row. They proclaim progressive decoding is costly on memory and cpu, but progressive gives the best user experience imo.

Lastly a fringe issue, re-encooding multiple times. The good old reason why jpgs turn into trash over time because people encode instead of save images. Or because sites re-encode when uploading. Jxl wins here. It also is very easy to see why jpg turns into what it does rather quickly.

https://www.reddit.com/r/AV1/comments/ju18pz/generation_loss_comparing_jpeg_webp_jxl_and_avif/