So you emigrated to another country because people were immigrating to your country and immigration is bad? Is this sarcasm?
It was the OP who came up with the example of France to say that is not true.
> It’s the reverse, the burden is definitive and ever growing.
So there are two possibilities
* The French example is one of the very few exceptions -> This means the point OP is trying to make is kind of useless. Exceptions are present in almost all the theories.
* French example is what will happen in all most all the countries -> In that case OP's point becomes just ironic.