Can someone put a name to this DC-coupled low pass filter topology?
As already indicated by Andy aka - it is a derivation from the classical MFB topology.

1.) Lets start for the case C1=0: Now the opamp output provides a typical second-order bandpass in MFB topolgy - and the node after the first input resistor shows a second-order lowpass response (needs a buffer for using this node as an output)

2.) With the capacitor C1 we now have a 3rd-order lowpass function at the first node (after R1) and the opamp output provides a 3rd-order transfer which is the sum of a bandpass and a highpass.

3.) If used as a lowpass (as in your case) the only advantage is an offset-free DC transfer (true dc and offset free 3rd-order lowpass)