The reason the Intel 12+ gen core processors don't have AVX (and thus aren't affected by Downfall) is they were the first to introduce separate E-cores. According to
https://www.makeuseof.com/what-is-avx-512-why-intel-killing-it/, with Alder Lake (12th gen):
"While the P-cores use the Golden Cove microarchitecture, the E-cores use the Gracemont microarchitecture. This difference in architectures prevents the scheduler from working correctly when particular instructions can run on one architecture but not on the other. In the case of the Alder Lake processors, the AVX-512 instruction set is one such example, as the P-cores have the hardware to process the instruction, but the E-cores do not. Due to this reason, the Alder Lake CPUs do not support the AVX-512 instruction set. That said, AVX-512 instruction can run on certain Alder Lake CPUs' where Intel has not physically fused them off. To do the same, users have to disable the E-cores during BIOS."
According to
https://www.anandtech.com/show/18975/intel-unveils-avx10-and-apx-isas-unifying-avx512-for-hybrid-architectures-#:~:text=This enables support for AVX,Xeon performance (P) cores.&text=Examining the core concept of,have full AVX-512 support. , this will be corrected with AVX10:
"The most significant and fundamental change introduced by AVX10 compared to the previous AVX-512 instruction set is the incorporation of previously disabled AVX-512 instruction sets in future examples of heterogeneous core designs, exemplified by processors like the Core i9-12900K and the current Core i9-13900K. Examining the core concept of AVX10 it signifies that consumer-based desktop chips will now have full AVX-512 support."
As expected, I couldn't find any info. about whether Downfall affects AVX10.
Further, while Intel's current consumer chips dodged this bullet, that's not the case for its Xeons, which do have AVX-512:
https://wccftech.com/intel-cpus-witness-downfall-in-performance-after-downfall-vulnerability-mitigations-applied/#:~:text=Coming to the Intel Xeon,grasp over several Intel processors. :
"Moving on to the benchmarks, the Xeon Platinum 8380 was observed in various instances, with the old "390" and the new "3a5" microcodes. As predicted, the processor saw a performance decline in all scenarios. In OpenVKL, the performance drop was recorded at 6%, while in OSPRay 1.2, it reached 34%. AI workloads oversaw a vast drop, with applications such as Neural Magic DeepSparse 1.5, which was expected given that the HPC workloads were predicted to drop."
Plus there's AMD. It does implement AVX-512 even in its consumer chips, and is thus affected by Inception, which appears to be the AMD analog of Downfall:
https://www.pcworld.com/article/2033369/amds-inception-bug-looks-serious-for-photo-editors-on-ryzen-pcs.html#:~:text=(Downfall can also be exploited,aren't vulnerable to Downfall. :
"So far, Ryzen gaming doesn’t seem to be affected, with a statistically insignificant 1 percent difference using 3DMark’s “Wild Life” benchmark. Compression using 7Zip demonstrated a 5 percent drop in performance. The time to compile a Linux kernel took 8 percent longer after the microcode was applied....Like Downfall, though, users who work with photography and image-editing apps have reason to be concerned. Though Phoronix’s tests only found a 4 percent decrease using the Darktable RAW photography software, GIMP performance was strongly affected. GIMP, a Photoshop competitor, saw performance plunge by 28 percent using GIMP’s rotate tool. Phoronix noticed a similar 24 percent drop when using the unsharp-mask command as well, and the time to resize an image took 18 percent longer when the microcode patch was applied."
See
https://www.phoronix.com/review/intel-downfall-benchmarks for more benchmark details.