If you go to the ConocoPhillips website, lubricants section, you can see that they have 4 brands (Conoco, Phillips 66, Kendall, and 76). The specs are identical for all 4 brands for the same type and viscosity of oil. Some of the brands do have oil products that are not packaged in one of the other brands, but I think all 4 have the "regular" full synthetic.
Personally, I would go with Walmart SuperTech full synthetic before one of the ConocoPhillips brands. Also, you can get oil a lot cheaper in 5 quart containers for some brands. A 5 quart jug of Pennzoil Plat, is only $20 at Walmart, which is only $4 per quart. SuperTech is even less expensive.