Yes, I have seen it happen many times. But all those times, the other factors were present (religious policy, minority policy and plurality) and there is still no clear evidence that the ideology itself is the reason for less immigration. However, if you ask me if a limited citizenship party with moralism (which is common for many conservative parties but not for all) will attract immigrants, I would say no.
See my signature. Maybe there is some way to make a better test, and if someone could do it, I will definitely change my opinion about it.
Ok, I looked at
your experiment. It's a good start for an experiment. I'm not a scientist, but it looks like you've only tested some of the variables that would make it a foolproof experiment.
1) You gave Chile 100% plurality and all the full reforms, and 'The Party' was full citizenship. You didn't give the USA or other countries full citizenship and 100% plurality at the same time to see if immigrants would choose them instead. If Chile's The Party is Conservative, with 100% plurality and full citizenship and all reforms, would another country with the Liberal Party, 100% plurality, full citizenship and all the reforms steal the immigrants?
2) From 1836 to 1840 your experimental Chile was probably the only country with all those immigration friendly factors present. Later, as other countries got some or all of them, it might have made a difference if your party was Conservative or Liberal.
Your experiment showed the Socialists got more immigration than the Liberals and Conservatives. That might mean the further left the party, the more immigration it will attract. Or it might mean something happened elsewhere in the world the 3rd time you ran the experiment which pushed more immigrants to Chile.
I know you can't test for Reactionary or Communist for more than a month because they would overthrow your democracy and change the experiment.
Your experiment may be totally correct; immigrants may not care whether the party is conservative or liberal. I haven't run an experiment to find out exactly what is happening. From memory, I just remember seeing a clear drop in immigration when conservatives get elected over liberals or socialists, even when those conservatives had full citizenship, like those two Brazilian parties (Conservatives and Liberals). Maybe sometimes it made no difference and I didn't notice. Or maybe party religious policy has something to do with it. It says you used 'pluralism' all three times you rant the xperiment. Did you test to see if there was a difference between pluralism, secularized, moralism, etc.?