Not any significant difference. By the way, Havoline has been through a couple of different owners and the industry formulations change every few years, so the Havoline you bought years ago has NO relation to the Havoline you buy today.
Havoline used to be Texaco. Texaco and Shell has a joint agreement to refine each other's products for a few years. Finally, Chevron bought out Texaco. Through all this the Havoline brand name has remained, but the oils of all brands are frequently changed.
Valvoline is a brand name of Ashland, and they've changed with every industry formulation change, just like all the others.