I’ve found that wrapping does help the rubber strap to grip better. It has to be fairly tight to keep it from slipping off and having a little padding between you and the strap makes it feel better, too. Since I work in a hospital I have access to Kendall Telfa dressings . I cut the 3" x 8" pads in half lengthwise and use one half to wrap just below the glans. I keep the Telfa in place with a small piece of tape, put the rubber strap over it, and pull the strap tabs through the slots until it’s snug. After about 90 minutes I have to release it to get the glans warm again.
Having said all that I have to admit I haven’t used the thing in several months. Too much going on at work and not enough opportunities to remove and replace it at regular intervals. So many posts have been about this device lately that I’m going to try again and see it I can use this ADS device in addition to my usual routine.