My spitball guess would be that in earlier turboprops the reduction gearbox was connected to the compressor turbine. The propellor may need more freedom than the compressor could give it, so maybe holding the turbine constant and changing everything else was the way to go.
Could be talking completely out of my ass. I much prefer the "I Believe" Method of world understanding.
It's been a LOOONG time since engines, but IIRC, technically the PT-6A engine the T-34 uses is actually most accurately described as a turboshaft engine (the same type of engine setup Helos use), which explains the free-power turbine and the gas-coupling, as compared to a traditional turbo-prop. The free-power turbine of the turboshaft engine obviously then powers the output shaft (which is how this type of engine is defined) and that shaft then goes to the gearbox, where it connects to the prop. However, unlike the traditional turbo-prop, the turbine isn't mechanically connected to the gearbox via its own independent shaft.