I'm not sure if anybody has tracked this, but I would be interested in this kind of data.
Which players have won the most playoff series without HCA? Particularly among all-time greats, I think this would be a fascinating data point.
I have a few players in mind who I anticipate might perform well in this metric...
Spoiler:
...but would be interested in confirming or correcting my suspicions.

I might do some research myself when I have time, if nobody has already aggregated this.