Please don't take this wrong but only a fool installs P-rated tires on a vehicle of this weight.
You'll save money but when it counts the most, odds are, you'll pay with your life.
Sorry, but you are just stating a personal preference or opinion.
As the article someone was nice enough to post below even states as long as you choose. Tires that are more than enough for the weight of the vehicle. That is all that's important here.
At least as far as safety goes. Some have noted that a lot of LT tires have deeper tread and they very well may last longer if they are equivalent compounds of rubber. That could be another personal preference to choose them over a p Rated Tire. I personally like the nice Square block look that many LT tires have. Now, I don't like the all terrain tread on cars that see a lot of miles or Highway use because I like a highway tread for smoothness, quietness and better wear but often these still have a nicer blockier look.
The simple fact is that most people for an SUV will haul far less weight than someone might with a pickup truck but the average correct size tire that is designed to fit on the vehicle when you multiply the load capacity times 4 most everyone will have a nice cushion room above what you're ever going to load the vehicle too.
Now I can remember when I was a kid we took a half ton pickup truck from Ohio to Tennessee actually riding to Georgia to buy watermelons. My dad loaded that truck so full he had to add extra air into the tires because they were squatting so much. I'm quite certain it was an unsafe load and also unsafe amount of weight on the tires but he made it and I can remember him doing it two or three years in a row. I don't think he ever had a blowout.
Tires are also like many other things like rope and tow chains and straps Etc. They will actually handle more than the numbers printed on them but for legal purposes everyone has to cover their butt.
Then you have to factor in age which can make something fell far below the printed numbers.
But I like to stick to facts like the actual numbers on the tire x4 and the weight of the vehicle. You can find articles from all kinds of authority sources that try to sway things all different directions.