I'm sure many people might have some alternate intentions whether its the wristband, or various ribbons/pins/keychains for supporting other charities.
Brings up the neat issue of trying of assessing someone's goodness while factoring both the consequences and intentions. (sure the consequences is that it supports LiveStrong, but does the person's intentions matter?)
So consider this, where person X is someone with a sore back.
a)Person A is mean, hits person X with a chair to hurt them, but actually fixes the back by nudging something back into place.
b)Person B is kind, thinks he knows what he is doing, also carefully hits person X with a chair, but actually makes the injury much worse.