As others have said, selectable locker is the best of both worlds. I've run automatic lockers, lunchbox lockers, LSDs, and selectable lockers on lots of different vehicles and would suggest the selectable for best all-round performance.
I currently have a Detroit in the rear of my TJ and while it works well on the trail, I personally have never found anything but annoyance with the way Detroits load and unload on the pavement - especially when the pavement is wet or slick. Lunchbox lockers tend to be a bit more civil in their operation, with some noise in turns, but just us unfun on slick roads. I personally love the TruTrac and have offroaded the crap out of them while enjoying their excellent performance on the road and in inclement weather, but there are definitely situations where they fall short compared to a locker. But I have a JK Dana 44 and e-locker almost ready to go into my TJ, and I'll be swapping the Detroit for an e-locker for the rear soon as well. I've had several past Jeeps with air lockers and e-lockers, and another vehicle in my fleet has e-lockers front and rear, and they are hard to beat for making a trail-ready rig civil on the street. They do add a bit of complexity and require a bit more planning before attacking an obstacle, but in the last two decades plus of running selectable lockers, they are #1 on my list of worthwhile upgrades.
I currently have a Detroit in the rear of my TJ and while it works well on the trail, I personally have never found anything but annoyance with the way Detroits load and unload on the pavement - especially when the pavement is wet or slick. Lunchbox lockers tend to be a bit more civil in their operation, with some noise in turns, but just us unfun on slick roads. I personally love the TruTrac and have offroaded the crap out of them while enjoying their excellent performance on the road and in inclement weather, but there are definitely situations where they fall short compared to a locker. But I have a JK Dana 44 and e-locker almost ready to go into my TJ, and I'll be swapping the Detroit for an e-locker for the rear soon as well. I've had several past Jeeps with air lockers and e-lockers, and another vehicle in my fleet has e-lockers front and rear, and they are hard to beat for making a trail-ready rig civil on the street. They do add a bit of complexity and require a bit more planning before attacking an obstacle, but in the last two decades plus of running selectable lockers, they are #1 on my list of worthwhile upgrades.