0~1 means anything between 0.00001% and 99.99999%. So no, it doesn't convey a "significant chance to get absolutely nothing." And that's exactly why harder numbers are more useful - while 10% for Vice might not be correct (and 0~1 is), it gives you far more of an idea what Vice means.
Like, how high is the chance to get a second Phantom if you MvP? Is it 1%? Is it 2%, doubling your chances? Is it 4%, which would mean tripling your chances and thus keeping the SSR Hime:Phantom weapon ratio the same? Unfortunately, insufficient data for a meaningful answer.