So I was told (and experience it) a little differently (p.s. I'm a sleeve):
Its not that the liquids "wash down" food out of my stomach, and makes me hungrier sooner, its that when I have food in there, any liquids I drink will take up the available space and fill me up quick. So much so that I can't eat another bite...and if I do (or take another gulp of liquid) I can feel the material rise up in my esophagus or something and eventually barf.
I have found that this phenomenon happens only when I drink AFTER I eat something (i.e., when there is something in my stomach already). But if I down a 500ml bottle of water before I start eating, there is no issue. So I imagine it as food blocking the way to my intestines, and then liquid just sitting on top of it. Anything more added until the food goes on its way will just come back up.
For this reason, I don't drink until about 30-40 minutes AFTER I eat, nor do I drink during. But I DO drink right up to the moment I take my first bite. Which is why I rarely order/eat brothy soup with solid chunks in it.