I'll just take this out into an actual answer, and the answer is 'NO', the crop factor doesn't make it a 1.5:1 ratio. What it does change is the ratio of information per pixel which would be an valid new designation.

Why? Because the 1:1 ratio is a designation of how large the lens renders subjects on the focal plane whatever that plane is, it is an optical designation. A 2cm square subject will be rendered as 2cm squared on either a FF sensor or a 1.5x crop sensor. To suggest otherwise takes any meaning away from the designation since every body you put it on would effectively give it a different meaning. A 1:1 ratio is still a 1:1 ratio on a 10D at 6MP or a 5DmkII at 22MP or a 1.5x crop body at 18MP.

It'd be like saying with film, if a different film emulsion had better resolving power it'd changed the magnification power of the lens, or that printing it on a larger print did.