DarkNecridRealm Royale seems to be using a way better format for their (community hosted, mind) tournaments so far:
Duos, 30 teams, play 10 games.
Uses a score system like golf (less points = better), your duo gets positive points = to their placement at the end of the game and then loses a point for every kill the duo gets.
Encourages aggressiveness to get kills, hella reduces camping, and Realm Royale is a fast enough game that 10 games doesn't take ages regardless.
TSM's Daequan actually suggested something similar to the score system that Realm Royale has currently in a video sometime back about how in pro scrims (if you believe that's a thing), people just camp, farm materials, and wait until the final circle to actually fight because there's no real incentive to kill. What they're trying to get is 1st. And while he talks about how it is in a different patch of the game, the same points that he makes still apply. Even though things like explosives (rockets, C4, hand grenades/grenade launchers, clingers) and LMGs and miniguns to a smaller extent being buffed to be sort of anti-building tools, stopping people from camping in a building, bush, or skybase for the entire match isn't something that's worth using your ammo/explosives/team resources.
Start of change discussion
What is suggested
The way the Friday Fortnite events do their system with players is really good and should be adopted universally IMO. You're going against everyone else in the server trying to get the most kills between you and your partner. Whether or not Epic decides to have duos be the ultimate format or 4 man squads is yet to be determined last time I checked. Seemed like they were leaning more towards duos being the main format but things can change. Of course the way that Friday Fortnite does its system has its detriments, since it's played in pub squads games, but that to me seems like the right track for developing a good, long-lasting competitive system.