I know it's not out of the realm of fantasy, and many people play in groups of four, but as a rule, players already know who is online and who is ready to play, but here, if 4 people are from different time zones... I don't know how they will coordinate to play. And we have a sad experience with a 3v3 clan war, where people played for, say, half an hour, because one of the players didn't have time, and in the end, the whole idea fizzled out.
Therefore, it's probably worth starting by analyzing who can participate in such a tournament. If a quorum can be gathered, then we can work on the technical aspects; if not, then it's not worth it.