I don't really know how to explain it, but I will try.
I own the HS...the HH was HUGE...in terms of TONE..I though...hmm too huge?
That's just me.
The HS is to my ear like a SUPER RIC (I also own a 4003)...Plenty of Bass and BITE.
I like to play up near the neck and I always favor the blend forward toward the neck pickup.
Thanks for the info, definitely something to think about.