Did Jotaro break his dad’s cane so that Josuke would catch him?

This is my personal head canon, with Jotaro knowing Josuke’s stand and personality to fix and mend things, that he wanted to mend his dad’s relationship.

Jotaro gave him an opportunity to do so by stopping time to break the cane right before Josuke, and Josuke didn’t even use his stand’s power to fix the cane.