In terms of PC usage, JPEG, or most image codec decoding are done via software and not hardware. AFAIK even AVIF decoding is done via software on browser.
Hardware acceleration for lossless makes more sense for JPEG XL because it is currently very slow. As the author of HALIC posted some results below, JPEG XL is about 20 - 50x slower while requiring lots of memory after memory optimisation. And about 10 - 20 times slower compared to other lossless codec. JPEG XL is already used by Camera and stored as DNG, but encoding resources is limiting its reach. Hence hardware encoder would be great.
For lossy JPEG XL, not so much. Just like video codec, hardware encoder tends to focus on speed and it takes multiple iteration or 5 - 10 years before it catches up on quality. JPEG XL is relatively new with so many tools and usage optimisation which even current software encoder is far from reaching the codec's potential. And I dont want crappy quality JPEG XL hardware encoder, hence I much prefer an upgradeable software encoder for JPEG XL lossy and hardware encoder for JPEG XL Lossless.