Lug nut, which is correct?

Had to take the truck in to the tire shop after I saw a screw in the driver side rear. Guy calls about an hour later and says I have the wrong lug nuts on the truck. Figured they were scamming me but didn't say anything until I could see for myself. From the pics I could find on the forums it looks like the shop was right. Lugs I have on the truck have a long shoulder and look like the cone is bottoming out in the wheel. I have the stock aluminum SR5 wheels.
So which one is correct? Long shoulder or short shoulder?

 

I had a 1978 CJ-7 in Autumn Red too! Wish I still had it.

 

The one on the left is the correct lug. The one on the left is for hub centric wheels. The lug on the right is for lug centric wheels. If you are running the factory wheel, then the lug on the left is the correct one.

 

Thanks Rick! Looks like I need to track down 15 more lug nuts...