Intel 10th gen mobile and 11th gen mobile and desktop, excluding Pentium and Celeron, have AVX-512. And all 12th gen have it on the P cores but not the E cores. If the E cores are enabled then AVX-512 is unavailable.
On 12th gen they disabled it on the P cores too even with E cores disabled with a microcode update. A lot of newer systems don't have access to the older microcode, and microcode doesn't typically let you downgrade.
There are workarounds for downgrading microcode, because the CPU itself doesn't actually have non-volatile storage for microcode updates and relies on the motherboard firmware to upload updates on each boot (and motherboard firmware can often be downgraded, possibly after changing a setting to allow that).
Which is probably why Intel has changed to disabling AVX512 using fuses in more recently manufactured Alder Lake CPUs.
My point with "a lot of newer systems" was that there are motherboards now that completely lack a version of their firmware with the microcode that allows avx-512. There's nothing to downgrade to without an exploit to allow making your own firmware images with mixed and matched components.