Having an 'internationalized' professional bio is a must if you want to be seriously considered for international jobs and assignments.
An Internationalized Bio Helps You at Home and Abroad
But in an increasingly competitive and global marketplace, even if you are not looking to work abroad, having a more international profile can help you in your job search.
By differentiating yourself - by being more 'global' - you are more likely to stand out. The global presentation will strengthen your application for many types of positions.
As more companies are doing business internationally and virtually, global teams become more common. Many employers are now considering the ability to work across cultures as a highly desired, if not required, skill set. Hence presenting as more of a 'global citizen' will help you attract job opportunities wherever you are in the world.