Not saying that fitting people into a small space isn't hard.

However, children of immigrants are especially keen to assimilate into the receiving culture, so much so that they often go beyond what natives do. For immigrants and their children, a clash of cultural values may be a larger driving factor than what's the natural for people in general.

Having your family under one roof isn't a compromise, unless you don't like your family. Sure, there are downsides at times to having everyone together, but the positives far outweigh the negatives.

Even if you like your family, I would be surprised if you didn't make compromises regarding noise levels during different times of day, cooking choices, having people over, etc. Not to mention cultural differences.

The above might not apply if you have a large enough space with sufficient sound proofing and multiple kitchens, but that's not the reality for most people. There are positives, but my observations suggest that the biggest factor in determining if you live in an intergenerational household is whether or not children and the parents can both afford to live in different houses.