Ali, safari driver here drive like a train on set path they know their cruiser will make through with 7 people seated. They use LC as its easy to maintain and cheaper to fix with Toyota reliability which superceed any other existing brands in Dubai.
For sand offroad, the key thing to consider is the weight of car and power of the car. How many hp/ton you have under your belt.
LC = 2.5 ton with 240 hp = 96hp /ton
Wrangler = 1.5 ton with 190 hp = 130 hp/ton
Prado = 2.0 ton with 262 hp = 130 hp/ton
So now it shows that LC is highly underpower as oppose to weight it carries and that's why other smaller and lighter cars runs fast and climber higher.
You can reduce the unwanted weight from your LC, get the K&N filter, platinum spark plug, michelin or siam tires (best for sand) and deflate to 12 psi and try again if you can climb higher.