Some people think that way because they are pixel peepers and judge things at 100% on a monitor. A larger resolution gives a larger image, naturally, but viewed at 100% you are still looking at the same area (pixel wise) on the monitor. so therefore a smaller section of the whole image. In other words it is enlarged more.
So, if you take the same image on a low res body and a high res body, an edge that covers 3 pixels on the low res image may now spread over 4 or possibly 5 pixels (depending on the difference in resolution). Naturally, that would then look a little softer. However, view (or print) both images at the same physical size, and that difference goes away completely.
So, no, there is no real difference in sharpness, but it can look that way to a pixel peeper as they are looking at a much bigger enlargement. It's like looking at a TV screen up close, where you start to see the dots and text looks fuzzy, but sit back on the other side of the room and it all smooths out and sharpens up.