With 9 people, traditionally there are 2 mafia (since 3 means one mislynch puts us in Lylo)
So with 9 people and 2 mafia, we get 3 mislynches before it's game over and 1 additional lynch if we hit a mafia.
However, if we nolynch, we officially lose a mislynch and, thus, end up with 2 mislynches before game over, with 1 additional if we catch a mafia
So, if we no lynch now, we lose one of our lynches later.
No lynch has possibilities near the end game, especially if you end up with even numbers (BM3 demonstrated that, although it was mafia that suggested it). For odd numbers like this and in the beginning game, we need those lynches.
The only other condition I can think of is if we just no lynch over and over. That'll drag the game out to 5 days then put us to Lylo. It gives power roles 4 nights to discover something, 2 additional than traditional methods.
That's insanely risky, however. We don't know the power roles that are out there. We don't know what we'll get on the 5th day. Also, with the mass of nolynches, we'll have no discussion, no communication, and, thus, no tools to work with. Even the mafia kills won't be useful since there's no day game to link player behavior with kills.
As such, I say no to No Lynch. We're not playing around pointing fingers at each other randomly here. What goes on now creates the wonderful analysis and discussion you love in later days. To get that, though, we need this day. Giving it up is giving everything to raw chance and risk.