I too had both for a time and tested them side by side (along with my 18-135 and 10-24 plus some primes). At all apertures and anywhere in the zoom range in the CENTER of the frame there was little discernible difference between them. At 100% and squinting hard at the screen sometimes I thought I could tell some difference sometime not. For me and my uses (general walkabout but with a preference for landscapes) they were functionally equivalent in terms of general IQ in the CENTER.
At the extreme CORNERS at pixel level the 18-55 was better at the wide end until f8 or f11. By then diffraction set in and the two were more or less equal in the corners. But when I say better, I mean only marginally better. It's still a zoom (and at 18mm in the corners I thought the 10-24, which I also tested side by side, was actually slightly better). On the long end in the corners I could never tell the difference.
At f11 and f16 no matter the zoom range diffraction made the images equal. That might matter for landscapes if you're shooting at small apertures.
For me and my purposes, I was underwhelmed at the advantages of the 18-55. I sold it and kept my 16-50--it weighs less, is slightly smaller, and I actually prefer the slightly wider angle of view on the wide end.
Aside: the 18-135 was also functionally identical in the center to both. At 18mm it suffered more in the corners than either lens, but actually was better at around 55mm.
When testing both lenses against the 10-24, X100T (with WCL and without), 23 1.4 and 56 1.2, BOTH zoooms suffer at the corners--noticeably. The primes (including WCL on X100T) are much, much better in the corners. Even so, in the center of the frame the zooms held up fairly well. So, for me, if I want absolutely best quality across the frame, I'm using primes not zooms. That's no surprise. But that means that any zoom is a compromise. Also, if I want fast apertures I'm using primes, not zooms.
So, for me, if I'm taking a zoom and not a set of primes I'm already willing to compromise on corners and speed (and I emphasize that the zooms are not THAT much different in the corners from one another), so I might as well take the lighter one. This is especially true if I'm gong to be stopping down anyway to f8 or f11 for landscapes. Other uses and desires may of course suggest different choices.