If you move, legally and honestly, to a new country and take it on as your new identity, you cause zero problems.
My grandpa tried to move the whole family from Mexico to the USA in the 70s. They weren't allowed to stay so they continued on to Canada where they were allowed citizenship (I honestly don't know the specifics but I know their intention was to be as legal as possible even though they were very uneducated).
That decision not to stay in Texas illegally was unusual for our people group at that time and I've often thought gratefully of my grandfather for it. Respect for the law of the land is a strong place to build from.
If you move, legally and honestly, to a new country and take it on as your new identity, you cause zero problems.
My grandpa tried to move the whole family from Mexico to the USA in the 70s. They weren't allowed to stay so they continued on to Canada where they were allowed citizenship (I honestly don't know the specifics but I know their intention was to be as legal as possible even though they were very uneducated).
That decision not to stay in Texas illegally was unusual for our people group at that time and I've often thought gratefully of my grandfather for it. Respect for the law of the land is a strong place to build from.