ALL WLS gives you hunger control. Bypass, sleeve and DS all do that. Lapband even does for some.
If you look at the data, long term results with sleeve and RnY are about the same so I suspect they give similar hunger control.
However, VSG removes the part of the stomach that produces most of our ghrelin, which is the hormone that make people feel hunger. In some studies, they've found that long term RnYers have ghrelin levels that are the same post-op as before but with VSG ghrelin levels are almost always reduced. OTOH, with a lapband, ghrelin levels *increase*.
Of course ghrelin isn't the only thing that makes you hungry or lapbanders wouldn't have hunger control and some of them do (the ones who find their sweet spot). But I knew pre-op that most of my hunger was driven by ghrelin so I was very sold on having it removed. I'm 4.5 years out now and I have below average hunger levels. I still have to make myself eat sometimes because if I ate to my hunger, I would be too thin.
Since I didn't have RnY, I have no idea if that would also be true of RnY but I know a lot of my RnY friends talk about the hunger coming back "the same as before". Honestly, I don't really believe that. I think their hunger must be reduced from before or they'd gain all their weight back. But the studies show their ghrelin levels are the same so maybe they do have the same amount of hunger and it's other things that are keeping their weight off.
OTOH, Dr Roslin just wrote this article for OH that talks about this and he seems to think all long-term weight loss success is hunger control and he says sleeve and bypass end up performing about the same so I suspect the hunger is about the same in the long run.
Here's Dr. Roslin's article where he talks about all 4 surgeries and about how hunger control is what makes WLS work:
http://www.obesityhelp.com/articles/choice-of-bariatric-proc edure-a-philosophy-obtained-in-20-years-of-bariatric-practic e-2/