These days the most popular and generally agreed upon best joystick for SF2 is the Il competition stick.
Back in the day of arcades, you never knew what you were going to find on a cab, since they were conversions. Ultimates may have been official on something like the CE cab, but you hardly ever saw them since the cabs with Supers in them were much preferred by players, and Operators quickly realized this and switched them out. And once the Il comp sticks caught on those became the de facto SF2 stick in any serious arcade.
Of course, now we have all abandoned those sticks for the most part, and everyone uses Sanwa and Seimitsu stuff, but I don't think those would look very good on your cab.