Why would you need to see a side-by-side image comparison to make up your mind. If you have a 1:1 macro lens, the size of the image projected on to the image sensor would be the same size as the subject. With a 1:2 macro lens, the image would be half of real life size. So, if you had the two pictures side by side, the 1:2 picture would show the subject half the size (linear measurement) of that in the 1:1 picture.

Well, I don't have a macro lens, so I cannot do such a test. Furthermore I'm interested to know how much details the 1:1 macro lens can yield over a 1:2 macro. That's not something a math formula will show. Am I interested to see the sh!t stuck up a fly's butt? No, But I want to be able to appreciate the texture of a leave or a flower petal. I can't estimate that with my current set up, nor the math formula can.
You can simulate this by using a zoom lens and taking a picture at, say, 24mm and another at 50mm.

The perspective at 24mm would be different than at 50mm, so no, it wouldn't be the same at all.

