No, you can't delete icons you created with AppButler with iTunes, because the icons are stored like simple web clipps. You know, you can put a direct icon and link to websites on your screen by "Add to Homescreen" in Safari. And you can't delete them with iTunes either. So, if you wan't to delete an icon created with AppButler, you have to delete it directly on your iPhone.
Yes. AppButler iocns are full iTunes 9.0 compatible. The page numbers and register icons are adjustable like normal web-clips. In particular the compatibility with the new iTunes 9.0 turns out to be the real advantage and an outstanding extension for the proclaimed app organization. The new iTunes version supports AppButler completely. All page numbers and register icons are shown on the displayed screens and can be organized via drag&drop like conventional iPhone apps.
No. To download the icons, you need to use the AppButler app. But the single downloaded icons can be organized and arranged with iTunes 9 like simple web clips.