I seem to recall we've been around this merry-go-round before, and I' not sure what if any conclusions were arrived at, so I'm not going to weigh in with definitions.
But using YOUR definitions, you are wrong about the comparison between single-wire-shotgun and biwire. Biwiring (assuming you use the same wire for both highs and lows) will have the same resistance as a single wire of that gauge. If you shotgun (as you describe), you will have lower resistance (equivalent to a thicker gauge). So single-wire-shotgun will have lower resistance than biwiring.
But using YOUR definitions, you are wrong about the comparison between single-wire-shotgun and biwire. Biwiring (assuming you use the same wire for both highs and lows) will have the same resistance as a single wire of that gauge. If you shotgun (as you describe), you will have lower resistance (equivalent to a thicker gauge). So single-wire-shotgun will have lower resistance than biwiring.