You should care because those formats aren't equivalent. In many important cases, WebP performs worse than the good old JPEG[1]. It's popular mainly because of Google's brand and cargo culting. HEIF is doomed because it isn't royalty-free.
In my opinion, JPEG XL is the most interesting new format. Cloudinary published many blogposts comparing JPEG XL to the other formats, for example: [2][3]. I really recommend reading them.
BTW, Chromium has recently added support for JPEG XL decoding[4]. It's currently hidden behind a feature flag.
[1] - In medium to high BPP photographic images (which, I believe, is the most common use of lossy image compression) and in generation loss tests.
[2] - https://cloudinary.com/blog/time_for_next_gen_codecs_to_deth...
[3] - https://cloudinary.com/blog/how_jpeg_xl_compares_to_other_im...
[4] - https://chromium.googlesource.com/chromium/src/+/043d3254221...