@leatherneckjacket
You've made a compelling case. I too am impressed with your brute force analysis. The postseason stuff is for me very frustrating... & you too obviously. I'll repeat VERY VERY frustrating.
I'd bet our only disagreement comes down to the "so what?". The data is laid out for us. I assume we both watch many/most of the games throughout the seasons & post season. So why have the postseason results been what they are? What (if anything) should be different? & what to do about it going forward to rectify it?
As a read through your breakdown (the initial one) & before I finished I said to myself... "Holy crap... could any team have worse luck" ...then lo & behold you end it dismissing luck as any significant possibility. (see other's post on format & draw etc)
I believe others here have articulated really well some "explanations" on why we've come up short. I do think bad luck has been a big factor... as much as I hate surrendering to the data with that conclusion. Luck is not the only factor. I'll hit on the biggest...imo.
Pitching is huge in postseason. Pitching has been our bugaboo forever. I think the head coach should be held accountable & part of Hall's legacy will account for that. Then 4(?) years ago he got "permission" (& budget) to upgrade the technology we have & hire a much better pitching coach...right on the heels of upgrading the asst coach (Ramsey). I am not aware of anyone (at the time) who didn't applaud EVERYTHING related to those changes. So far... that (pitching) hasn't met expectations.
My main point there is you are talking about change as the fix. I feel like that was almost as significant a change as you're seeking but we're still 0-fer in regionals.
So for me. I am not a grass must be greener guy on this. And that's the rub. After watching this team (under Hall) over the years win more than they lose... get to postseason regularly... host occasionally... I think Hall gets them in position to win (even in postseason) consistently. As a fan... that is all I ask/want. I can't explain what happens in June. I wish I could. FRUSTRATING.