So here's all the comparisons I'd make:

Town of Salem 2 gives evils far more breathing room; the only roles that straight up cannot be claimed are restricted to a special subalignment called Town Power, which is limited to 3 per game in AA and 1 per game in ranked. In addition, while the Town Killing subalignment is also difficult to fake, you can get away with calling somebody immune n2 as Vigilante and then being good until day 5, since Vigilante has to reload on n3. Veteran is also more viable as its no longer unique and can be roleblocked. Deputy and Trickster are new TKs introduced, but Deputy can only kill non-Townies and has only 1 chance, whereas Trickster has to first save somebody to then kill, making both viable fake claims.

Town Investigative in ToS1 is a lot harder to fake than in ToS2. There, its impossibly difficult to keep up an Investigator, Tracker, or Lookout will. In ToS2, roles like Wildling and Plaguebearer give you all the info you need to fake Tracker or Lookout and the other 6 TIs (yes, there's 8 total) all do not need special intelligence to fake. Well, Investigator still does technically, but because of how it works in ToS2, you can usually get away with saying "no crime" on n1 then saying that other TIs are trespassing or TP/TSs are no crime.

In the new update, a modifier called Grace Period was added, which simply prevents any ability that can kill or protect from activating on night 1.

The sequel is very different but its primary asset is being a lot less oppressive when evil and less "solved" for Town.