On the tick tock men token the sanity icon has a minus sign in front of it. Does this mean no will test, just lose one sanity each time you encounter them?It would mean "Lose no sanity if you fail the test". Monster which have the "‒" in place of horror value, have some other effect described to happen when you fail the test.
However, this isn't the case here. You forgot to note that Tick Tock Men also have "‒" instead of the icon, which means that there is no test at all.
Also the cultist monster token just has a line thru it with no brain symbol. Does this mean no will test?The physical cardboard Cultist token doesn't have any statistics printed on it.
Instead, it has a text telling you that the statistics you're looking for are printed on the AO sheet.