In some constructions, I can see that it leads to issues--referring to a word or phrase that comes before the word or phrase "which" or "who" directly precedes.
The mother of Gerald, whose parents had been poor, was tired.
Here, the unessential info could be attributed to Gerald instead of his mother, who it is actually about.
Gerald's mother, whose parents had been poor, was tired.
That issue does not exist in this construction.
In other cases, especially when there is context to help, it would be very difficult to misidentify the referent.
In these cases, are constructions in which the referent comes first, removed from the pronoun that refers to it, considered awkward, wrong, or bad?
They brought back with them a small cat from Egypt, who was shy but alert.
As opposed to:
They brought back with them a small cat, who was shy but alert, from Egypt.