During a V-I resolution in C Major, the Leading Tone is B.

B is the 3rd of the G7 chord. It wants to resolve to the Tonic note of C in C Major (C-E-G)

But, I've often read that dissonances want to resolve by moving DOWN, not up.

So, other than being a half-step (m2) interval, doesn't this nullify the whole idea of notes wanting to resolve down?

Generally speaking, when people say lines like "things often want to resolve down", isn't it misleading, until you deal with "in-context", specific moments of a progression?

So, when people use C Major to V7 (C-G7), that is moving UPWARDS of a 5th. (ie Circle of 5ths)

Although, it just came to be that, perhaps when people say "things want to resolve downwards", they may be referencing the entire CHORD (say G7) wanting to resolve down to the tonic (C)??