The optimal town strategy for this game actually includes a no lynch
this is not true.
D1 was either
A. 2m v. 10t
or
B. 3m v.9t
NL D1: 0% chance of lynching mafia..... gives us this D2:
either
A. 2 scum v. 9 town ~22% chance of lynching mafia
B. 3 scum v. 8 town ~37% chance of lynching mafia
LYNCH D1: on D1 we had either
2 scum v. 10 town ~20% chance of lynching mafia
3 scum v. 9 town ~33% chance of lynching mafia
either we lynch mafia, or we didn't. yay if we did, but the worst case is that we didn't, which would give us this d2
2. scum v. 8 town ~25% chance of lynching mafia
3 scum v. 7 town ~47% chance of lynching mafia
which is still better odds that NLing. we statistically have less of a chance of lynching mafia D2 by not lynching D1. not to mention lynching D1 gives valuable information to town, regardless if the person lynched flips town or mafia. you can read into how genuine certain pushes are when a town gets lynched, or read into any reluctance if a maf gets lynched.