I have found zero evidence that it does. So have others far smarter than I am:
https://www.si.com/mlb/2017/09/14/cl...s-playoff-odds
There is no relationship between how a team finishes its season and how it plays in the playoffs. Recency bias didn't stop the 2000 Yankees or 2006 Cardinals.
Take the White Sox, for example. Despite injuries off and on to key players all year, they've had this division wrapped for quite a while. They're fielding different lineups, keeping guys fresh, have gone to a six man rotation and have been slightly meh as of late. They not going all out because why deal with a stupid soft muscle tissue injury going into October? It's stupid.
So Chicago put their varsity lineup out today and were up 7-0 before anyone knew what was happening. It's done, and now they can get guys at bats, work on things, stay fresh and be ready for Houston.
Apart from that, I'm not sure why you'd fall back on a World Series pick you made months ago based on the small sample size of results this week.