If that’s the standard run-expectancy chart, I don’t think that bolsters your case very much.
Statistically speaking, even if the #3 sees ~20% of plate appearances with none-on-two-outs, you would still have to account for the other ~80% of plate appearances seen by the #3, then compare that to the results for other lineup spots, before making such a general conclusion about whether the the increased amount of PA’s with none-on-two-outs outweighs the increased amount of PA’s overall.
And also, I think you may be misunderstanding what a low-leverage situation is, as opposed to a low-expectancy situation. Although, any 1st inning situation will be relatively low-leverage.
Statistically speaking, even if the #3 sees ~20% of plate appearances with none-on-two-outs, you would still have to account for the other ~80% of plate appearances seen by the #3, then compare that to the results for other lineup spots, before making such a general conclusion about whether the the increased amount of PA’s with none-on-two-outs outweighs the increased amount of PA’s overall.
And also, I think you may be misunderstanding what a low-leverage situation is, as opposed to a low-expectancy situation. Although, any 1st inning situation will be relatively low-leverage.