Tax authorities already try to control for arbitrary cross country bills that try to shift profits (at least in some jurisdictions). The downside is more bureaucracy and unproductive friction of course.
It only makes sense with large amounts of profits to launder through such a system.
But the system is not fixed - people do start exploiting these arrangements, and once the number reaches critical levels they get whacked. An example in the UK was "employee benefit trusts", which were used by a lot of celebrities and footballers. https://www.rossmartin.co.uk/disguised-remuneration-zone/302...
You need to be big enough to (a) pay for enough legal bulletproofing and (b) have political cover against the law going after you.