I suspect this card provides more utility in some campaigns than we might give credit for, though this depends on my (possibly incorrect) rules interpretation.
Haunted is the clear location effect that would trigger during the test. As I understand it, Haunted does trigger during the skill test. Specifically Step 6 (Determine success/failure of skill test).
Relevant text from the advanced skill test rules reference:
Reaction or Forced abilities with a triggering condition dependent upon the skill test being successful or unsuccessful (such as "After you successfully investigate," or "After you fail a skill test by 2 or more") do not trigger at this time [Step 7]. These abilities are triggered during Step 6, "Determine success/failure of skill test."
So, if playing The Circle Undone as a mystic this might actually warrant consideration for your deck. Bonus that it's both a keyword and location effect.
Looking through a small sample of Dunwich and The Circle Undone locations, it's clear there are numerous locations with effects occurring during step 6, typically contingent on failing the test.
There's another hidden benefit that might go overlooked on many locations. Locations are largely the fulcrum for clues and clue interaction. This is where you're investigating the vast majority of the time, and so are designed to commonly trigger on picking up one or more clues. Since picking up the clues occurs during Step 7 (Apply skill test results), and the skill test does not end until Step 8, you should be able to safely ignore those negative effects when testing with Mesmeric Influence.
A ton of locations care about whether you pick up a clue.