How long would it take to brute-force ASLR for this exploit, given that execution is under control of the exploiter, and can thus be tried many times in quick succession? I recall that some OSes only have a small number of different ASLR permutations, but I don't know the details, and especially not the details of Linux's implementation.
On 32-bit systems, it's feasible to brute force, as there are only about 12 bits of entropy. There are a lot more random bits on 64-bit systems, so I don't consider it brute force to be that practical there.