This circuit should work as part of DC servo circuit in audio amplifier with single power supply, maintaining power amplifier stage working point at Vcc/2 (output is AC coupled).
Intuitive approach is to get generic non inverting integrator and replace all ground connections with stable low impedance reference voltage source of Vcc/2.
But the network at op amp non-inverting input is just an RC circuit, so it can sit on any low impedance source, regardless of its level. So I returned it back to the ground. This gave me a freedom to replace voltage reference with simple divider. Am I right?