If wrist wraps help with the mental approach to lifting, than all the better. Some times the feel of just having support around the wrist, elbows, knee and back gives a boost to the confidence. Even though that feel of support may be misleading and weak at best. Wrist straps (not to be confused with lifting straps) with buckles or Velcro may prove a better option for serious lifting. They will give a proper brace to the joints involved. Like a lifting belt, should only be drawn to it's tightest only during the actual BP. Loosen as soon as possible after that lift. You want circulation to return back to normal with-in that joint area. Some guy's do not do that. Most people I've seen (PL/Olympic lifters), who use supports of any kind, use Inzer. Not an endorsement, just a observation.
Quite a few trainee's may find that holding the bar, when benching, a different way can lessen wrist stress. More on the heels of the hand rather than cradling it in the palms, with the thumbs wrapped around the bar. With the bar resting on the heels of the hand (with a false grip), a more straight and inline driving force with the wrist is achieved. With the bar resting in the palms of the hand there is more unneeded stress and stretch on the wrist. You should also gain a little more power with the bar on the heels of the hands style. You are pushing rather than pressing the bar. Also works well on military presses (push press). Chalk or stickum would be advised with this style.
I'm sure the more experienced guy's here already use the bar on the heels of the hand method, but the newer people might consider this suggestion. And of course, never bench alone or without a GOOD spotter. Good luck.