Con arguments:
1) Giving up two lynches extends the game by one day. This trade-off is more beneficial to the scum. Giving up just one does not extend the game at all.
I don't think anyone is advocating not lynching someone to extend the game's length. I, for example, suggested the possibility of a no lynch for TODAY and only today because in terms of numbers, the best chance we have of lynching an innocent is on day one.
Con arguments:
2) Giving up ANY lynch means we lose information, the most important being the HAMMER vote, or killing vote.
This is true.
Con arguments:
3) The scum have a 100% chance to kill an enemy each turn, and we do not.
We DON''T have a 100% chance of killing an enemy with the lynch, while scum (vampires anyways) have a 100% chance of killing someone, excluding instances when someone has a cross or star etc. That's why, in terms of percentages, we should vote to kill when the chance to kill an innocent isn't so abysmal.
Con arguments:
4) The lynch is the only power nilla innos have.
True. However, that doesn't mean we need to use it, especially when it will probably backfire and kill and innocent.
Pro arguments others are making (as far as I can tell):
1) An inno doesn't die. Whoopdy doo.
Yes, an innocent doesn't die. You seem to be severely underestimating the usefulness of having an innocent be alive rather than dead.
Pro arguments others are making (as far as I can tell):
2) Players get to avoid having to make a tough call and give us information by voting patterns. This is actually a con, imho.
I'm pretty sure Bongo made this point as a con, as well. However, this is really the same point as your second con argument.
I think it really comes down to killing an innocent versus the potential benefits that people's voting patterns provides down the road.
Information versus team killing? I would argue that there isn't much information to be gleaned from day one lynching as compared to the value we gain from (probably) killing an innocent. However, having said that, I am not going to vote for any side until the quiet people post more.