How about seasonal winning % rank going into the playoffs?
(Wild Card era began in 2012. Wild Card WS winners in RED)
2020 LAD 1st
2019 WSH 9th out of 10
2018 BOS 1st
2017 HOU 3rd
2016 CCubs 1st
2015 KCR 4th
2014 SFG 10th out of 10
2013 BOS 1st
2012 SFG 5th out of 10(Start of Wild Card ERA
From 2012-2020, I would not say it's a crap shoot. In these 9 years, the best record team won 4 times. (10 teams make playoffs)
The 1-3 ranked team won 5 of 9 times.
6 of the 1-4 ranked teams won.
7 of the top 5 ranked teams won the WS. THAT'S 78% of the time.
Also, the #1 or #2 record in the league team lost the WS, three times in those 9 years.
12 of the 18 teams that made the WS in the last 9 years were top 5 teams (out of 10)- 67%.
11 out of 18 were top 4 (61%).
8 of 18 were the #1 or #2 record team. That's 44% of the time. If it was totally random, you'd expect about 2 (1.8) teams to make it, not 8.
2011 STL 8th of 8
2010 SFG 5th of 8
2009 NYY 1st of 8
2008 PHI 5th of 8
2007 BOS 1st of 8
2006 STL 13th in MLB (8 teams made playoffs) Had best record in 2005.
2005 CWS 2/8
2004 BOS 3/8 WC team
2003 FLA 7/8 WC team
2002 ANA 4/8
2001 AZ 6/8
2000 NYY
1999 NYY
1998 NYY
1997 FLA
1996 NYY
1995 ATL
It looks like the 10 year period from 2002-2011, the crapshoot principle carried some weight.
5 of the top 4 teams won, and 5 of the 5-8 teams won, but 7 of the top 5 teams won the WS. Still- a crap shoot, yes