So you're saying faith connotes the cognitive content of something? I don't think, nor have I held on this thread (appealing to scripture, etc., as well as personal life, e.g., relationships), that faith is cognitive. Saying faith is a "conclusion" makes it sound exclusively cognitive.
It's more with inclinations of the will, although these inclinations always involve thoughts or beliefs. Its synonyms, trust and confidence, aren't cognitive, although they might be extrinsically connected to cognitive stuff.
So there's faith, the non-cognitive action potential, and the referent or idea it's related to. Same stuff we're talking about.