"AMD processors dating back to 2006 reportedly suffer from a
major security flaw that allows attackers to infiltrate a system virtually undetectable."
"Attackers need to access the system kernel to exploit the Sinkclose vulnerability"
If you already have access to the Kernel, this exploit is kind of a nothing-burger.
Nope, kernel access is ring 0, this is a persistent ring -2 (worse) exploit. Not the first such one, Intel has had several in their Management Engine for example, not sure it's even AMDs first one for Ryzen - and each time one is found it
is a big deal.
The reason this is WAY worse than mere kernel access is that it's much harder (sometimes impossible) to detect, and is very resistant to "normal" methods of solving infections.
IE - someone gets infected. Fairly normal procedure is to reinstall on clean media and you're fine - this won't work for this, it's still infected! To get rid of the infection you often must take out and discard the CPU in addition to doing secure deletion (or destruction) of all storage because it's now hidden deep inside the secure enclave on the CPU.
Many people uses laptop these days and often the only way to get rid of something like this there is to feed the motherboard into a shredder - or likely the entire laptop if your warranty doesn't cover this since a replacement motherboard is usually more expensive than a new laptop.
It's mitigated by first requiring the much lesser "full kernel" access and that actually using it is very complicated, at least at this point. The first means it's mostly not a problem for normal users, the second reduces it to people of special interest, like finance or military unless the second gets solved (which it may).
So, yes, it's a bit overblown but your specific complaint is fully covered in the article.