"not as slow as pre-AKS methods." only in terms of provable asymptotic bounds. It's much slower than APR-CL and ECPP, both of which existed before AKS, and are

"not as slow as pre-AKS methods." only in terms of provable asymptotic bounds. It's much slower than APR-CL and ECPP, both of which existed before AKS, and are the methods used daily.