Innate Superpowers and Avengers Affiliation

[Rough102]

Would an innate superpower that doesn't have a cost count for the Day Unlike Any Other leadership ability?

For example, if Cap bodyguards Ghost Rider, will Spirit of Vengeance prevent Wicked's Judgement from having its cost reduced?

[Rough102]

Apologies, can't edit - Now that I'm not on mobile, I noticed the bodyguard thing is irrelevant in the situation.

I suppose the question should just be phrased "Will an innate power, with no cost, such as Spirit of Vengeance prevent Wicked's Judgement from having its cost reduced by Cap's leadership if Spirit of Vengeance is used first?"

[Negoldar]

Innate powers don’t have costs and aren’t activated (core rules, page 6). This means they don’t count as being used when considering A Day Unlike Any Other.