Seriously?, I think your post raises good questions, although I tend to defer to competent pollsters on matters like this. I just have one thing to add:
One would think "voter reg history," would be taken into account in the LV screen.
Not necessarily. Most likely voter screens entail asking questions about self-reported voting history, self-reported intention to vote, self-reported interest in the election, and sometimes, screening questions that determine if the voter has a plan to vote, e.g., knows when and where to do it.
The thing is, these self-reports are more likely to be accurate if they correspond to past behavior than if they don't. At the end of the day, a 0/4 voter could express high intention to vote, high interest, and even high voting history ('cause people are big ol' liars). A 4/4 voter could give the same information. Which voter would really be likelier to vote? Obviously the 4/4 voter, not the 0/4 voter. So it makes sense to weigh down the 0/4 voter's response, just because we know that 0/4 voters who give the same answers as 4/4 voters are still less likely to vote.
Also keep in mind that meeting the LV screen does not mean all respondents score equally highly on it. If the screen determines one voter has a 99% chance to vote, and another 75%, it makes sense to allow both through the LV screen. But it also makes sense to weigh down the 75% person's response to reflect the fact that their "predicted vote" for their preferred candidate is 0.75 votes, as opposed to 0.99.
Make sense?