It's typical practice for major league teams to give some left-handed batters a rest when the opposition starts the game with a left-handed pitcher on the mound. This, of course, is because of the well-known platoon advantage that pitchers have against same-handed batters. I remember a time when it was rare to see any left-handed batter in the lineup against Randy Johnson, but we don't seem to have a monster like that in the game today. Most managers will leave their best lefthanded bats in to face a lefty starter, with the more marginal lefty bats replaced by right-handed hitters.
But not all pitchers are created equal, especially when it comes to this theoretical platoon edge.
One thing to note is that left-handed starters tend to have a smaller platoon differential than left-handed pitchers at large. I believe this is because managers are aware that the opposing team can stack their lineup with righties and tend to select left-handers with a smaller platoon split to be their starters.
Makes sense, I think. Here is a table of the current left-handed starting pitchers in American League rotations. I count 20 of them (I don't include those on disabled lists):
2009 to 2012 | wOPS | |||||
(regressed) | ||||||
%RHB | Total BF* | vLHB | vRHB | split | ||
F LIRIANO | 77.1% | 2087 | 0.230 | 0.264 | -0.034 | |
B MATUSZ | 78.8% | 1306 | 0.249 | 0.277 | -0.028 | |
D HOLLAND | 76.2% | 1832 | 0.238 | 0.264 | -0.026 | |
M HARRISON | 71.9% | 1488 | 0.235 | 0.258 | -0.023 | |
D PRICE | 76.9% | 2439 | 0.211 | 0.233 | -0.023 | |
CJ WILSON | 76.5% | 2211 | 0.207 | 0.228 | -0.021 | |
D DUFFY | 74.5% | 541 | 0.262 | 0.282 | -0.021 | |
C SABATHIA | 75.1% | 2897 | 0.214 | 0.230 | -0.016 | |
J SANCHEZ | 76.5% | 2029 | 0.226 | 0.242 | -0.015 | |
B CHEN | 71.6% | 1626 | 0.245 | 0.256 | -0.011 | |
WY CHEN | 77.1% | 105 | 0.233 | 0.243 | -0.010 | |
J VARGAS | 74.1% | 2176 | 0.234 | 0.243 | -0.010 | |
F DOUBRONT | 64.6% | 254 | 0.263 | 0.271 | -0.008 | |
J LESTER | 74.5% | 2608 | 0.224 | 0.230 | -0.006 | |
C SALE | 60.0% | 502 | 0.215 | 0.221 | -0.006 | |
D SMYLY | 75.6% | 90 | 0.235 | 0.239 | -0.004 | |
T MILONE | 86.0% | 229 | 0.238 | 0.240 | -0.002 | |
M MOORE | 77.7% | 148 | 0.255 | 0.256 | -0.002 | |
J DANKS | 71.4% | 2552 | 0.240 | 0.240 | 0.001 | |
R ROMERO | 71.0% | 2678 | 0.259 | 0.227 | 0.032 | |
unweighted average | 74.4% | 0.236 | 0.247 | -0.012 | ||
* BF is approximated here as AB+W+HBP | ||||||
wOPS is (1.75*OBP+SLG)/4 |
https://www.battersbox.ca/article.php?story=20120502102709949