btw ... on my first ever rebuild i ran into this same problem with the same awful puller with the built-in wrench.
so i bought an $8 'wrench force' puller that uses an adjustable wrench found in any tool box. it worked like a breeze, and i've used it on many a bike.
this is no slam against park tools -- i have a bunch of great bike tools from them. but that all-in-one puller was a joke.