Don't call SetTexture() in clear mode

It's just a waste of time, the game is probably being lazy.  I'm opening this as a separate pull in case we want to merge it separately.

Pros:
 * May correct the the incidence of the self-texture reporting.
 * May prevent some texture processing that doesn't need to happen, but probably minor even then.

Cons:
 * Will make the situation fixed by #5150 worse in some cases (like 3rd Birthday) since the earlier SetTexture seems to help it be less wrong somehow.

-[Unknown]