That used to be common until a few decades ago, but naturalization for Swiss-born children of immigrants has become much easier in recent years (and much more of a legal right, rather than a privilege granted at the discretion of communities).

Only 0.1% of the Swiss population are non-naturalized third generation immigrants, and only 2.4% are non-naturalized second generation immigrants. https://www.bfs.admin.ch/bfs/en/home/statistics/population/m...

This is still higher than e.g. in the US, where the corresponding numbers are close to zero, but it's not nearly as high as it used to be.