No dis to anyone, but: Again...why would you want, or need, to tape the wrist?
Not going to make it easier or the wrist more flexible. The more you practice the hold on shoulders part, the more flexibility will be gained. The triceps (and including the whole shoulder girdle & upper back) here are very important and are being stretched also. The higher the elbows are held, the more of a tricep stretch. Once getting adjusted to the exercise, the bar/weight will cradle it's self on the delts/upper chest. But it all depends on the height of the elbows and the stretch of the triceps. All in all, it's a pretty rock solid position for the bar. It's not the wrist so much, as it is the triceps.
A few lifters will hold the arms out (usually around 90 degrees at the elbows) with the hands out & away from the bar. Or crisscross the hands, with the fingers lightly touching the bar, if at all. People find their own style to what suits them. Some use straps or a towel, wrapped around the bar, and held with the hands. But still with the elbows high up. I believe there is a device designed to fit the bar, to help with front squats.
When front squatting with 400 to 500+ , the bar seems to settle in better and lifters find the exercise more natural to preform. I ,and others, find this true from experience. Good luck.
SideBar: As with this exercise, the elbows are a key factor factor in performance, and getting the most out of the effort. Include benches, shoulders (lateral raises, etc), lats work and many others, in all of this. Even triceps & biceps focus.