1. Not only does Fedor‘s cue have an extra wrap on it but it also has a spiral arrangement to give an even firmer grasp. I haven’t seen one of those in a while. Johann Scherz, an Austrian billiards pro in the ‘70’s, played with a butt shaped like that with one of those European rubber wraps stretched over it. He could have hammered a wood frame for concrete work with that thing.
2. I tried a European rubber grip for a while, but I found I didn’t like the feel. As a friend said to me recently, “I got one of those rubber grips, but I found it was TOO ‘grippy.’” (!)
3. More recently I discovered my own grip was unsure on both my wrapless cues and my leather-gripped cues. In my dotage, the skin on my hands has, I believe, grown too thin. So I bought another rubber grip and put it on. Again, I had the same unpleasant feel that I get when I wear rubber gloves to do something. Briefly I took the wrap off and then thought about it. I eventually took a scissors and cut the rubber grip into individual sections of slightly more than a half an inch. Then I rolled each new section onto the cue again but left slightly more than a half an inch between the sections. Now I’ve got the best of both worlds. The rubber sections give me grip but at the same time I’m in contact with the wood or leather of the cue for feeling.
4. CAUTION, If you attempt to use a rubber grip, be careful with your case. If your case is the kind that has tubes inside for shafts and a butt, with the rubber grip on the butt you may not be able to extract the butt from the case. All the European billiard players use rubber grips, but they also all have cases which open up along their entire length, not ones with tubular compartments.