If you tried this out in Linux, for example, the system would block you from selecting folders that contain files that are flagged as dangerous or "system files". I'm assuming this was implemented across all OSes.
Its also easily possible to have sensitive files misplaced, especially for a general non-technical user that would be the one falling for a browser hijacking attack
My biggest concern here is the write permission.
what are websites gonna steal, debian binaries and libraries?
all my important stuff are in my home directory, which is owned (read+write) by me, the same user running the browser.