I think SHA-3 is almost always slower in software, in theory SHA-3 could be hardware accelerated of course, but on both current AMD and Intel systems it's not, where SHA-2-256 is.
Power10 also supports accelerated SHA-3: https://www.redbooks.ibm.com/redpapers/pdfs/redp5649.pdf (p150)
Accelerated SHA-3 on x86_64 is probably an inevitability; the question is more when than if.
https://csrc.nist.gov/projects/cryptographic-algorithm-valid...
Moreover, the laptop variants of Alder Lake (H-series, P-series and U-series) are said in the Intel Ark web site to include a subset of QuickAssist, but I have not been able to find any public Intel document explaining which functions are supported by laptop Alder Lake CPUs or any report of someone testing these functions on laptop Alder Lake CPUs.