Yeah, that's what it's for. Those lug nuts were probably run on with an impact gun, with the combination of speed and metal-to-metal causing them to gall. It would be unusual for it to happen by hand, but I've seen stranger things. It will also help keep rust from building up on the threads making the nuts hard to get off.
I also use a little where the rim fits tightly over the center hub,so rust doesn't bind them together when I'm trying to get the wheel off. Just trying to make my future life easier.
A little tube of silver (I like it better than the copper) NeverSeize will last you the rest of your life... and probably your son's life too. BUT, it's a bitch to clean off your hands and it will NOT wash out of your clothes... ever.
