The spells (e.g. PW:S) will cast on others the same as on yourself. It might be that the tooltip does not show the right spell (are you using specific addons?).
That's what I understood to be the case, yes. And no, I'm not using specific Addons that might affect them, I don't think.
I am at the office at the moment. Will get back with specific examples of what I mean tomorrow, very likely.