I don't mean to be a pedant, so someone please correct me if I'm wrong, but I don't think TLB mishandling would result in arbitrary memory access (I suppose in the strictest sense arbitrary can just mean random, but generally I have understood it to imply that the address can be attacker controlled, which a stale TLB wouldn't allow).

Unless you're like Microsoft (from your link) and accidentally leave the page tables writable from userspace for 2 months. But that's not really a TLB error, that's just L-O-L, wow!