It would have given her a really good correction! Here's the problem, she took off and you got hurt. She had no correction for it because it was self rewarding. So yes, I think most likely the prong would have helped. Put it back on her and get your clicker back out. And work on proofing the behavior you want (not chasing) by having someone throw balls and taking her places specifically to proof for such things as squirrels and wildlife.
~The strength of one's opinion should not exceed their knowledge on the matter~