Question about persistent boot (The-Distribution-Which-Does-Not-Handle-OpenCL-Well (Kali) linux) and hashcat

[Snoopy]

well this should be the fact yes, a LIVE distro uses basic drivers

hashcat startpage:
AMD GPUs on Linux require "RadeonOpenCompute (ROCm)" Software Platform (3.1 or later)

so you have to install additional drivers / software

second:
yes because k.a.l.i. is known as The-Distribution-Which-Does-Not-Handle-OpenCL-Well (Kali)