Most likely yes. The diff brace basically limits the movement if the diff. That is why most of us get better 0-60 times when we load up the driveline brake boosting. It takes any slack out of all components, anything with bushings will be tensioned and will want to come back to original position, so it kind of works as a rubber band which can be good and bad. Good- brings the awesome 0-60 times. Bad- brings rear wheel hopping due to the rotational movement of the diff. The diff brace will limit it’s movement so its not bouncing around within the stock bushings limits, which are always soft to offer comfort.
There is some dude on YouTube who installed a diff brace on his TH and, while installing the brace, noticed his differential had shifted (presumably from launches/dig runs). Preventing the differential from shifting is worth the cost of the brace, in my opinion.