If the cop claims, we will have two reports, yes? One from night 1 and one from night 2.
If (this is a big if) the scum have no idea who the cop is, we have a 1/5 chance of cop dying.
If cop claims today, we get a 100% chance (obviously) of 2 reports, and maybe a 0 or very low chance of any more.
If cop claims tomorrow, we have an 80% chance (remember, the big if) of 3 reports, and a 20% chance of 0 reports - that gives us 2.4 reports on average. So we risk a mere fifth chance of death for a 50% increase in report volume.
Also remember that reports are worth a bit more now, since we have a decent 2/7th chance of scumfind instead of a worse 2/9th chance at the beginning. And it does depend greatly on the reports that the cop already has. Clearly if the cop has two scum reports and has not waken up yet or whatnot, CLAIM CLAIM CLAIM. But if the cop has two pretty sucky town reports (worth even less because there's a godfather), I think we should wait.
One useful thing would be to find out the relative values of scum and town reports. How useful are scum reports compared to town reports (in times more useful)? People who have played more games or are experienced or whatnot, I beseech thee to answer. Also mods if that's allowed.
Also, Toony. If we do lynch, we have at least a 2/7 chance of getting a scum, so I mean we have a decent chance of not mislynching. And if we nolynch, well of course we won't mislynch so it won't be lylo.