As long as the oil you use meets the specification spelled out in your owners manual, you are fine.
Yes, there are variations between brands in the additive packages and some will provide more "protection" than others. This is what fuels the great oil thread discussions we see on the net and before that, at the local parts counter!:laughing:
Back in the day, a very good friend of mine ran an excavating business. He also ran a lubricant business on the side to supplant his income during the slow months. He handled a line branded Pennstate which was the house brand of the Bodie-Hoover Petroleum Corp (out of business since 2003). He went to pick up some stock one day and got a tour of the facility. What he saw included a warehouse stacked to the rafters of empty containers from many of the major oil manufactures (Shell, Texaco, etc.) Turns out they blended and packaged for many of the majors at the time. The chief chemist told him that he knew what everyone was doing in their "recipes" and he made theirs (house brand) better.
I used several of the lubricants from my friend back in the 70's and 80's until he retired and never had any problems.
Bob