Load depends on your driving. How much off-roading will you really do? What type? How many and what type of rocks? How much heavy towing will you do?
LT or Load Range E do have stiffer sidewalls to content with towing heavy loads. As a result when aired down they are a bit more resistant to sharp rocks.
Non-LT or Load Range SL still can have strong sidewalls depending on the model of tire. They’re slightly softer on-road, have higher speed ratings, are lighter (and therefore more fuel efficient) but have lower limits for load.
For what it’s worth, I ran Wrangler Duratracs on my Jeep Wrangler. Went off roading many times with it, and never had a puncture. In fact, the only Duratrac sidewall puncture I ever saw was due to improper manual sway bar disconnect placement. And ‘everyone’ complained about weak Duratrac sidewalls. But, that’s based on the rocks around here in Ontario. They don’t tend to be as sharp. We see more mud, gravel, and worn rocks.
Standard Load still gives us 5K of cargo capacity/tongue weight, which is well over the LC’s limits. For me, I’ll go SL for the ride, fuel economy, speed rating and cost. The roads around here are horrible and I don’t need any more stiffness than necessary. When I go wheeling I’ll do it smartly and not take chances on sharp rocks. If I get a puncture, I’ll replace it.
But if you tow regularly, or go rock crawling regularly, then E might make more sense for you. Only you can decide! And whatever you decide will be right for you!