Right now my lenses are all stored in my armoire, so I leave the hoods in position for use, but, yes, when transporting or storing everything in a camera bag or case, I reverse the hoods and slide them on the lenses that way so that when I'm ready to grab a lens out in the field and shoot, it has its hood on it, just needs to be flipped around and installed in the correct position. The only lens hood that I don't handle this way or keep on the lens while it's sitting in the cabinet is the one for the Bazooka, as that lens hood is long and makes the lens even longer on the shelf, so I just wait until I'm ready to put the lens on the camera to put the lens hood in position after removing the lens cap.