Most owners manuals have 2 oil change intervals. For example, 10k under normal conditions, eg. Mall crusing in the city; and every 5k under extreme conditions, eg. In the desert where it is hot and dusty, in the tropics where it's hot and humid, in the artic where it's very cold and dry; towing; heavy rig...
How you are using your truck makes a big difference.
5k changes are probably unnecessary overkill for a city mouse, but the weather where I live is extreme. I'm in a high desert where there is lots of sand in the air, the air is dry, it is regularly very hot in the summer (100+) and you get less horses from your engine due to the altitude. So I do 5k changes. If I were at sea level somewhere the temps are moderate, and humidity keeps the sand and dust on the ground, I'd do 10k without a second thought, unless I spent some significant time offroading, then I'd do a 5k.
BTW, the LX motor is tuned differently to take advantage of the higher octane in premium. The LC isnt tuned for premium and gets no benefit from higher octane fuel so running it is a waste of cash.