RE: Flying Horizontal Stabilizer
The airfoill used for the horizontal tailplane really means little -
diamond - smooth teardrop (streamlined - flat stab /tapered elevator etc..
really
The sensitivity may change bu t structurally all you need is a setup which will not bend or twist.
On some designs the sensitivity may be an issue and ideally you want the elevator to trail somewhat in line with the stab.
But all in all the airfoil- a non issue.