But does it mean that lynch strategy is bad, or maybe that the setup is hard for town?
Nope, actually this setup is heavily town sided.
I did some reading on that Mafia Championships website and looked into the games. There's one really smart post there about a viable strategy, I don't want to copy+paste, I will instead write down everything important and rephrase some stuff:
The main problem for every single game is that Town does not use their JOATs to their full capabilities. A game with 12 vanilla townies (no PRs) and 3 mafia goons by itself would be more town sided because of the numbers, and adding 2 power roles, even weak ones, would generally make the game even more town sided.
First thing - attempt to understand that this is in no way a mountainous game. If you get a JOAT as your role PM, no, you can't just "play like a vanilla townie". You might think that you could, but really not, professional players have tried and it didn't work out for them. Essentially, two town players are handicapped. They will seem "off", most probably stand out to the Mafia and possibly get suspicious looks from the Town.
Secondly, the Town is compelled to play "around" the JOATs. When you suspect someone for being "off", is it really because they're Mafia, or because they're a JOAT? Your pushes will always have that uncertainty. The presence of the JOATs confuses Town.
Most games will approach this setup in the same way, despite this way not getting good results. Here's what we can do instead:
We use a strategy from a different setup. If you're familiar with Cop Niner, then you'll know that it's a standard setup and played so much, that there's a standard strategy. EVERY player provides a result. If they don't, they get lynched. This means that when the real cop (or in this case, the JOAT) flips dead, the information he/she collected isn't lost, because it's all in the game thread, and JOATs can put it there without getting the instant knife from Mafia.
So, at the start of day two, and any day that follows, as long as a JOAT lives, you WILL post the result of your night action. And if we're going to do this, we have to start using this mindset right now.
Question: But that will make me feel awkward...
Yeah, no kidding. That's what happens to JOATs. That's why they get sussed by Town and have to claim or get killed from Mafia, because they can tell who is being awkward and who isn't. Sure, you would like to "town it up" and be easy to find as Town. But if you want that win, you're going to have to put in the effort.
Question: But I AM the JOAT...?
Well, good then. You just need to post results like everyone else does, except not lies. If the other JOAT flips before you, then you are going to know what they did and where they did it. You are going to be able to look at all the lies everyone else has told and in many cases you should be able to identify the towny lies from the scummy lies. That will be valuable. This is where the town gets enough value from having JOATs to overcome the benefits to the goons.
Question: What kind of results should I claim then?
READ THE JOAT INFORMATION! Don't go posting results that actual JOATs won't be able to come up with. Some of you might be thinking "ohh, I'm going to make a bad claim, so the scum knows I'm not the JOAT and I won't get NKed". Do not let those thoughts lead you to scum-siding here. Claim a tracker, motion detector, or a doctor while following the instructions. Over the first three days you have to claim each one. Make them look good.
If you claim a tracker on someone, DO NOT include where they went. They are going to be making a claim about going to someone for themselves. We don't want to tell the Mafia that we're obv lying, now do we?
THE CRITICAL EXCEPTION:
If one of our JOATs makes a successful save, take a look at the claims you've already made. If you COULD doc, claim that you did. If you already "used" your doc, then claim tracker or motion detector as usual. IF THERE WAS A SUCCESSFUL DOC, DO NOT INCLUDE A TARGET IN YOUR CLAIM WHEN YOU CLAIM A DOC ACTION. The Mafia KNOWS who actually got saved.
Thank you for listening to my TED talk.