Do you mean that you would want that to happen on the web server, if they detect a user-agent that doesn't support JXL, they would convert back to JPEG? That seems pointlessly costly in CPU.
Also like mkl said, there doesn't seem to be any evidence that JXL->JPEG can be done losslessly.
Dont know about web servers, but there are people doing it on the backup/storage side. https://dropbox.tech/infrastructure/lepton-image-compression...
Either way, it's not that useful for anyone that's already deploying post-JPEG formats; even WebP should save more than 20%. Mostly it's useful for CDNs and SaaS companies like Cloudinary to transparently deploy JPEG-XL for JPEG-only customers.