As others say, it depends on the outfit. I found it interesting that the looks in the slideshow aren't a direct tuck/no tuck comparison. Most are carefully crafted to create their own structure, with a cropped, nipped or waistbanded topper.
With my short legs and long rise, a full tuck is the most conventionally flattering option. The trouble is I have to keep re-tucking as I move around throughout the day. I tucked a silk shirt yesterday, and what a nuisance it was, especially as I live in fear of inappropriate workplace flesh exposure.
I resisted the semi tuck for ages. It started out as seeming a bit precious to me--and I still feel I look like I'm trying too hard whenever I do it. But I have succumbed because it's the most genius practical and flattering solution for someone with my body type.