The argument is good on both sides. I am leaning towards no, but until I hear from an arbiter or GD, I am voting yes. The Fact that traits cannot be countered, to me, means that one outwit cannot erase all the powers granted by the Trait like you can do to a SP, but rather have to choose one power that they do posses. Or if the trait does not specify a specific power, it cannot be countered.

What page is this on in the rulebook if you please.

Like he said, it is in the Player's guide...which created an errata entry to overlay the text in the rulebook.

Traits are abilities, powers, effects, or other aspects of a character that it
possesses at all times, regardless of how its combat dial is turned during
a game. Traits are indicated by the symbol in the circle next to the
name and/or description of the trait on a character card.
All traits are non-optional and can’t be countered.

Apples to oranges. We're not talking about feats, we're talking about traits. The rulebook says that the trait is the power and that traits cannot be countered.

What was the question again?

Whether a power gained thru a trait can be outwitted?
The debate continues.......