Thanks for posting this link, that's an interesting video. Fuji claims a 5 stop IS performance for its XF 18-135 (see
here), that's quite a bold statement... Judging from the video it seems indeed that the IS is much more effective on the XF lens, although the test is done with single shots and I think series of ten shots for each setting would give a more accurate picture of the difference in IS performance.
What I also find interesting is the comparison starting at 1:11, which shows a much less pleasing image rendition (low contrast, poor sharpness) from the EF-S lens at the fastest shutter speed. The 70D settings might be the factors to blame in this case ...