No, it doesn't, because quicksorting is one of the areas where I can see a benefit from extra registers. Sort algorithms happen to have tight loops that can be highly optimized by modern compilers.
It qsort is also a very small program relatively speaking so the deleterious effect of AMD64 code size expansion won't be readily apparent with a 64 KB icache. The story may be very different when you are dealing with a DBMS program with a code working set of over 3/4 MB even in IA-32.