You're kinda looking at the wrong thing, its close focus AND reproduction ratio that you should be looking at. Reproduction ratio being the biggest issue.
The 17-55 has a 1:5 reproduction ratio. The lower the second number (or the closer the second number is to 1), the bigger the subject will appear.
For example, a lens with a close focus of 2.25' but a reproduction ratio of 1:2 will magnify the subject/make the subject appear larger than a lens with a 1.25' close focus but a reproduction ratio of 1:5....