I grow in a tropical rainforest that often has significant winds so I might do things a little different than others. If your only concern is it being unsightly the upper portion can be removed with a shovel or knife and that should only take a few seconds.
Understanding what's happening below ground might be helpful so I added a photo.
The central cylinder is the first to rot and the cortex will last quite a bit longer. By punching a hole through the bottom of the cortex it won't collect water. I prefer just removing most of the old rhizome, especially the cortex, if it can be done quickly because the second generation plants tend to lean away and if that void is filled with a solid material like dirt it'll prevent those plants from falling over more easily.
