I don't know that I'd automatically equate the bottle type to the oil inside it. Many things go into the decisions of companies regarding purchasing, specs, etc. Just because the bottle is the same shape as some other brand, does not mean the oil inside it is the same as well. I'm not saying it's not the same, I'm just saying it's a poor assumption to make. Perhaps the bottle manufacturer supplies both lubricant companies?
Another example would be the (now hard to find) Adanvance Auto Parts red grippy filters. They were made by Purolator, and they looked it, too. But as I recall the actuall media filter area (as counted by number of pleats) was down a bit compared to the standard Purolator.
Now, in both cases, that doesn't mean that the products are inferior because they are not the same, although they might be in same/similar packaging. It just indicates that sometimes the products are modified to meet a particular target market; content is changed up or down to make a price point. The product would function fine as long as it's used within it's designed and stated environment.
In other words, the shape of the container does not guarantee the content of the container. That doens't make it bad; just different, perhaps.