All random pairings tournaments 
Theyâve been held, players didnât like the pairings.
âIt does not compute. It does not compute. It does notâŚâ
Under the current rules players have claimed coming up with âbetterâ pairings (generally ones that inconvenience somebody else) and the deterministic Swiss rules can be cited to show why the pairings given were the best available.
With random pairings players will virtually always be able to come up with âbetterâ pairings.
Curses! Foiled again 
Actually, itâs probably more accurate to say that SOME players didnât like random pairings, others may have liked them a lot! 