Erased Myself From Your Minds: Lines of fire drawn to Maxwell Lord by opposing characters are blocked unless he's taken damage from an opponent's attack this game.

Will this trait block line of fire from Outwit or Probability Control?
Yes. The trait does not specify only "lines of fire when making a ranged combat attack" or anything along those lines. Any line of fire at all draw by an opposing character is potentially blocked.

What about Pulse Wave? Or Cosmic Spider-Man?
Some game effects specify that they are only blocked by certain things (Pulse Wave, for example) or not blocked at all (Cosmic Spider-Man). In those cases, this trait will probably not block line of fire, though you will want to check the specific wording on those effects to be sure.