Worth upgrading to LSD?

Have a low mileage R/T with every option I wanted (performance suspension, Brembos, my favorite wheel option, active exhaust), thinking of swapping the 2.62 open diff for 3.09 limited slip.

I haven't necessarily found the open diff lacking, but wondering if the LSD would add a noticeable performance benefit. The car is mostly for spirited weekend drives in twisty roads.