I think u underrate the importance of being on 3rd compared to being on 2nd at Fenway. I've seen a lot worse baserunning blunders than that. But let's agree to disagree.
I'll do the math to support my take.
Teams make an error on approximately every 60 batters - 1.7% extra chance of scoring by taking 3rd with 2 out
Teams average less than one pass ball or wild pitch per game (given that there are 40 batters on an average in a game - 2.5% chance of scoring by taking that extra base (if now lower)
Fenway Left Field Factor (which I agree is unique) - 22% of his hits were to left field. He had 88 singles, so let's say 20 of his singles were to left over 458 at bats. So that is 5.0% of his at bats are singles to left field. But certainly not all singles to left will result in him not scoring. But for the purpose of this calculation let's assume 80% of the time the player is held at third in Fenway. So taking that extra base results in 4.0% of his at bats resulting in the runner scoring from 3rd but not 2nd. (5.0% * 80%).
Those add up to 8.2% of at bats including hits to left field.
Now let's look at situations where a hit would score him from second:
In 458 at bats, Vazques had 30 extra base hits, and 68 singles to Center or Right.
98/458 = 21.4%. But you must also consider the following:
a) Vazquez also has a 7% Walk Rate -- assume that batter behind him has a similar 21% rate, so we need to add a few extra % to the probabilities. So let's make it 1.5%
b) Also if the batter is held at third on a Single to Left (4.0% of the time), he still has a chance to score again via hit, error, wild pitch. So let's add another 1.0%
So if that player stays at second he has a 24% chance of scoring in the next at bat via hit.
If he goes to third on that play he now has a 32-33% of scoring in the next at bat (via hit or abnormaility)
So by running for third on that play you are doing the following:
#1) Increasing your run probability by 8% if you are safe (Granted Vazquez pull hits are low, so the rates are lower for him-- a higher pull hitter might be closer to 12-13%)
#2) Decreasing your run probability by 24% if you are out.
Numbers don't add up to taking any real risk.