Ability Replacements for Skills change skill ability type

[Galnörag]

The Reformation and conversation inquisitions let you use your Wisdom in place of your Charisma for a subset of charisma based skills. Does this inherently change the ability score type of that skill. That is, is say diplomacy now considered a Wisdom based skill, or is it still charisma based? How does that interact with Circlet of Persuasion?

[SlimGauge]

Can no-one use the search feature ?

See this thread that lead to this FAQ.

The skill is altered, but only at and for the instant of making the check.

[Galnörag]

I did and that didn't come up, having a search tool, but not having the right key words leads to duplicate threads. Thankfully people are really good at that inference, so thanks :)