It's my experience that these wrist braces cause more injuries than they prevent.
Back when I used to wear them (in the '70s and '80s), I was bowling in a tournament one day and suddenly felt something pop in the palm of my hand just as I was releasing a shot. The pain shot up my wrist and through my arm. Popped a ligament, I guess. It's all because the support wouldn't let my wrist and fingers give way, so something else had to give way. In this case, a ligament. It was my last game of the tournament, and I should have just withdrawn. But I'm no quitter, so I finished out the game bowling with two fingers (middle and thumb -- the ligament was connected to my ring finger). It wasn't pretty. And I was out of action for about six weeks.
The modern power release with today's reactive resin balls actually calls for an uncupping of the wrist at the release. It's like flipping a yo-yo or a Frisbee. Some of these "Robo Cop" wrist devices I see prevent that from happening.
Honestly, today's modern balls are made to hook. You just don't have to do as much to them as you did back in the days of urethane, plastic or rubber on wood lanes.
But hey, if it works for you, great. As the old saying goes, if it ain't broke, don't fix it. Whatever makes you think you'll bowl your best is definitely what you should go with. And indeed, if there's an injury that causes some weakness that a brace can help compensate for, then by all means, use it if you find it helpful.
For anyone with a modicum of skill, this game is largely mental. And if you THINK you need a wrist support, then you probably do...at least until you figure out that you don't. When you're standing in the ready position, the last thing you need is uncertainty.