My truck has a total weight of 1610# on front wheels and 1380# on rear wheels. The tire I am looking at has a load rating of 1600# per tire. Surely that would be OK. The only thing I haul is a cooler of beer, fold out chair, and a good lookin' babydoll once in a while.
While it may have the load rating, that tire is not constructed for light truck use. I've seen tires with a load rating that seemed ok for a truck that didn't haul anything fail, due to having the wrong construction. Good case in point, we had a kid come in the shop with a '72 C20 with split rims, which he replaced with single peice 16" wheels, plus tires. He didn't want the proper LT tire, he wanted a Passenger rated tire. Within a month, he had blown out the sidewalls of all 4 tires. Granted, in addition to being P rated, they were undersize (he though they looked "cool" ), but they were rated for the weoght of the truck without a load.