So you lost 0.1V simply by charging battery.
Aha! Up from 13.3! This is acceptable in my book.
So that means you are dropping 0.2V on the 0 gauge cable when that fan motor comes on. That is marginally OK.
OK, so point proven?? Problem solved?
Now we can further improve matters by re-installing the original fan & motor (Because it draws so much less current)!!! This would require:
1) fitting the correct form factor thermostat that ensures the bypass route is closed off when it opens;
2) Making sure that no secondary bypass route exists (coolant escaping from the otter switch orifice in the large diameter pipe going through the header tank, via the the 1" pipe from the header tank to the top RHS of the radiator);
3) making sure that the radiator is not blocked.