I understand your frustration with the SSS argument. However, they can't make an argument that is not going to be statistically valid, just because it fits or doesn't fit their opinions. It's not that they're not using it because they would have to concede something. They're not using it because it would not be valid.
FTR, it takes 910 ABs for BA to stabilize.
It takes 460 PAs for OBP to stablilize.
It takes 320 ABs for SLG to stabilize.
So while it's nice to look at Papi's World Series slash of .455/.576/.795 and say that he is otherworldly clutch, his 44 ABs and 62 PAs are not even close to a large enough sample to be meaningful. That would be like assessing a player based on 2 weeks worth of play. Spread that out over 3 seasons that are 10 years apart, and there's even more noise in those numbers.
The analysts have done research on postseason clutch. They get around the small sample argument by looking at data for all players over several years, which gives validity to their findings. I know that that is not going to satisfy you as far as the Ortiz argument goes, but I have some other numbers to throw out at you, so hold on....