This game does fit the theme very well but I personally found it very difficult. There were a lot of situations where there were only 1s giving little room to be able to do any deduction on the first level. There might be a way forward but I wasn't able to figure it out. A similar game also did this concept as well but only made some of the ones untrustworthy with clear signs to look for. I don't think your version is invalid but is definitely a lot more hardcore. Good job. I love the pop noise when clicking on tiles.
edit: I found out I could talk to some of the 1s to figure out if I can trust them. That is really clever but wish it was more obvious that was what I was supposed to do. Very creative.