Yeah, you would have to have a "branchlist" instead -- provides freedom of series connections instead of parallel. (A netlist provides freedom of parallel connections, instead of series.)
The netlist is most common because of our bias towards constant-voltage (branches in parallel) circuits and topologies, which ultimately is underlaid by asymmetries of physics (volts beget energy levels which are fixed by quantum effects; current begets only energy *rates*).
Strictly speaking, I suppose a more precise netlist would call out both branches and nodes. PCB tools usually autogenerate this from placement (i.e., the ratsnest). Some tools, I think, would be able to support that (e.g., Altium's From-Tos).
Conversely, a less precise, and much less useful, netlist would call out neither branches nor nodes...
Tim