Originally Posted by FBinNY

The crank threads have been standardized for quite a while, so the puller should work. It's possible that your puller's threads are slightly off spec and too big, but more likely that a dinged first thread (especially if the cranks didn't have a threaded dust cap in place), or there's some dirt or grit interferring.

Clean everything (it's a close fitting thread), oil the threads, make sure the remover's pusher bolt is backed out, and carefully try threading the body in. If you can't get it started, examine the crank, and if necessary use a small file to partly remove the outer thread at about a 45° angle to help get started.

Finally do not attempt to remove the crank unless the puller is bottomed out. It takes all the threads to have enough strength, and if you try with only 1/2 threads engaged you'll rip them out of the arm.