It only requires 1 more. At the point where they are hammered, if they are active and if they are getting lynched for the false report or whatever else then they can read a lot into things. For example, Mafia will struggle immensely (or would but you forced me to out this) with the situation and make themselves goddamn obvious by not believing in the cop's guilty from the get-go. They will hesitate to pick a side or contribute at all, simply happy that the cop guilties a miller and if the guilty townie happens to out as not miller they will rub their hands together and leap onto the cop at once. This readiness, combined with me giving precedent for the claim here, lets them then go 'I am popular, you can test me if you want, I just didn't want to waste my luck by claiming popular and getting 0 reads out of that'.
You're suggesting that a townie get popular, LIE to town, get caught (and it's possible that they aren't even caught for the lie), then lynch the person that hammers them?
Except you're missing the fact that both scum AND THE REST OF THE TOWN both think that this person is scum, so they are both likely to hammer, (town is more likely since there are more of them, and mafia will try to jump on early)
And what if an extra person decides to vote? Then you've lynched a townie that would've been confirmed if he revealed AND you're likely not gonna catch mafia because of that
This is extremely anti-town