Hmmm... I am a USAF C-130 pilot on loan to Canada. It is in our USAF regs to load the aircraft toward the aft end of the CG envelope (which is variable between 15 and 30 percent based on gross weight and which fuel tanks are used) as part of our fuel conservation policy. We don't have a T-tail (thank God

) and I'm sure our window is a little slimmer. The plane just flies better and gets up on step better and cruises a little faster with an aft CG. It's kind of a pig with a forward CG.
Big picture... with any normal airplane following the rules of longitudinal stability (as taught general aerodynamics courses) the tail always pushes down because the CG HAS to be in front of the aerodynamic center or the airplane will be uncontrollable (without a computer

). The more nose heavy the plane, the more it has to push.
I'm still trying to figure out how a plane with zero incidence on the wing and stab can fly at a positive angle of attack... I believe it has to do with a shifted aerodynamic center. When I get more time I'll research that.