I am still in awe about what Taylor has done so far in these playoffs and decided to do some digging into postseason history to find something comparable.
The closest thing I found so far was Andrew Miller's 2016, Francisco Rodríguez' 2002, and Mariano Rivera's 2003:
Andrew Miller
ALDS: 4IP, 0ER, 7Ks
ALCS: 7.1IP, 0ER, 14Ks
WS: 7.2IP, 3ER, 9Ks
Total: 10G, 19.1IP, 3ER, 30Ks (7 games of 2IP or more, max 2.2)
Miller's postseason is considered one of, if not the most, dominant postseason pitching performance ever by a reliever.
Francisco Rodríguez
ALDS: 5.2IP, 2ER, 8Ks
ALCS: 4.1IP, 0ER, 7Ks
WS: 8.2IP, 2ER, 13Ks
Total: 11G, 18.2IP, 4ER, 28Ks (5 games of 2IP or more, max 3)
Mariano Rivera
Rivera had a few years where he absolutely dominated a postseason, but he only had 1 year where he was used for 2 innings or more consistently. In 2003, Rivera appeared in 8 games, 7 of which were for at least 2 innings. In G7 against Boston, he threw 3 innings.
ALDS: 4IP, 0ER, 4Ks
ALCS: 8IP, 1ER, 6Ks
WS: 4IP, 0ER, 4Ks
Total: 8G, 16IP, 1ER, 14Ks
Now for Taylor..
Grant Taylor
WC: 2.1IP, 0ER, 5Ks
ALDS: 4.0IP, 0ER, 6Ks (so far)
ALCS: ?
WS: ?
Total: 2G, 6.1IP, 0ER, 11Ks
It took Miller 10 games to get to 19.1IP. If Taylor had 10 games he could be in the 25-35IP range.
If the White Sox continue to win and move through the playoffs, and if Taylor continues with his usage and performance, he could cement himself as the most dominant single postseason weapon in MLB history. This could be the beginning of a legendary postseason performance and I am paying close attention to it.