I would struggle sitting as far back as you appear to be sitting and having my reach so short. See the post I just wrote at:
Weight on hands
It does mean a lot of bikes simply do not fit me, at least not until I get some ridiculous stem (driven also be super long arms), and stock bikes often leave me with less than perfect weight balance between the wheels. But going to seats far enough forward (centered on a traditional setback post on a 72.5 angle seattube) and huge stems or the rare bike or custom has me riding positions where I feel I have enough reach to stretch my back out (with my pelvis rotated more forward than you have). I feel that reach has the effect of being like a cat stretching, wonderful for my back. And yes, this is counter to everything you will ever read for bike fit vs back ache. But it works for me.
Ben