These are SR Specials. You must be talking about the 4 string single H which doesn’t have a switch. I believe that H is in parallel mode which is the same as the last position on the SR 4 HH and the SR 5 H (both pictured in my posts above). The last positions in mine sounded similar but not the same. Maybe someone else can give you their experience comparing the SR 4 H and the SR 4 HH.
I have the 4H and a 4HH and in parallel the 4HH sounds very similar with same strings but not exactly like the 4H. However they have two different fret board woods. The 4H is rosewood and the 4HH is ebony which does change the sound characteristics. The pickup modes in the 4HH other than mode 1 parallel are fun to play around with, but mode 1 (parallel) is really where the balls of this instrument lie. If you want a Stingray get the 4H and never look back. If you're curious like I was get both.