I don't believe Starrett actually makes any steel. They just buy it on the world market and resell it. It's also my understanding that there's no way to know where the actual lot of steel was made. Maybe Europe, maybe Korea, who knows? I have also read that O1 isn't even smelted in the USA at all anymore.
The exact alloy content of any steel is always given within certain gudelines. The exact amount of each component will vary within these guidelines from lot to lot. If your applicatin is very critical, you will need to request an analysis verification for the lot of steel you are buying, regardless of the seller. Obviously, for making sporting knives this would be a little silly.
So in short, there is no difference between "Starrett O1" and any other O1 on the market, other than the usual, slight variations that must lie within the specified alloy's range.
There are NO "optional elements" in steel alloys! All O1 also contains 0.05-0.15% Vanadium. ALL O1 contains between 0.50-0.70% tungsten. If it doesn't, it's NOT O1. (German material number 1.2510)
O2 toolsteel (German material number 1.2842) is very similiar to O1 and the two alloys are often sold as interchangable, which for most applications they are. O2 does not contain tungsten. O2 is more common in Europe than in the USA and also makes an excellent knife.
Basically, buy whichever O1 is a better deal and offered in the sizes and finish you require. The steel you buy from one supplier may very well be from the same mill as that sold by another supplier. Steel is a very global product.