Are attached resource items, such as utility belt items or constructs, susceptible to outwit?

Relics and Resources are not powers nor abilities. thus, shy of a special power that would allow one to "shut off" the abilities of a relic or resource or entity or whatnot, that was attached to or assigned to a character, the relic/resource/etc's powers are not counterable.

Awesome! I am terrorizing my child with Green Lantern.

It's a matter of possess vs can use. I'll show you some examples.


Outwit: Give this character a free action to counter a power or a combat ability possessed by a single target opposing character until the beginning of your next turn. Any game effects with a duration specified by the countered power or combat ability are removed. A character using this power must be within range (minimum range 6) and line of fire to the target.


Also one of the fragments

Phoenix Power This character can use Ranged Combat Expert.


That's the reason you can't outwit them.

Resources and relics typically say the user "can use" the power which is why you can't outwit them. Notice the Phoenix Resource

Effects of the Phoenix Force - When a standard power is revealed on the dial, characters assigned to the Phoenix Force can use the indicated power. When a modifier appears, all assigned characters modify that combat value by the indicated amount, if the modifier has a border around it, then they modify all their combat values by the indicated amount.

give him/her an orange lantern power battery and they can "deny" you your powers/abilities.

fair's fair.

GREED IS GOOD