Bruno's system is "positionless hockey" which is meant to allow players to fluidly move about the zone, disrupting more traditional formations and confusing the opponents. It's a "never let them know your next move" type of unpredictability.
A big problem with it is that we don't have any team speed, so opponents caught off guard can generally recover. And the bigger issue is probably that our players seem to be just as confused as the opponents. I just don't believe it's viable, as it completely upends a lifetime of training for these guys.
There are tweaks you can make to the usual systems, like you can get a different tire size or tread pattern, but you can't re-invent the wheel.
It's not just training, but it effectively assumes (incorrectly) that everyone has the same innate talents and skills. Every player can play all the positions on a split second's lack of notice. It's an idea based on a false core assumption.
Imagine, if you will, an extreme case. A case involving all 6 positions on the ice and having everyone play in goalie gear. Your "system" is to confuse the opposition as to which goalie is the real goalie. Not only would it be ridiculous to have Connor McDavid skating around in goalie gear, you may have him stuck in net ,trying to recover from a pulled groin, while Jack Campbell slowly leads the rush toward the neutral zone, trying to carry the puck on his goalie stick around a Victor Hedman.
Chaos is the transition and offensive zone systems.
Dzone is actually very standard, like what they're taught in mites. This works wonderfully until everyone flies the zone as soon as a teammate possesses the puck.
The forecheck is basically the same thing Hynes was using. A man on man coverage to eliminate passing options allowing the F1 and F2 to overwhelm the puck carrier and create turnovers.
Moving this here for more discussion outside of the GDT the topic would get buried in.
To add to this a little bit. I don't think the offensive zone is actually supposed to be chaotic.
Between not being able to attend games this year and the horrible isolated camera angles during play it can be hard to pick up on tendencies and patterns unless you really take time rewinding and replaying the games. But, there seems to be very specific circumstances and cues that the coaches expect to initiate "plays" or player rotations.
These are the types of things that can create confusion and missed assignments within the structure leading to a loss of possession without any scoring chances, at best, or defensive breakdowns causing odd man rushes, at worst. But, when they work and everyone is reading the same play (and able to execute physically) openings can be created and exploited.
This approach, if micromanaged from the bench, can stifle what has historically been the source of offense in hockey. Creativity and imagination. Trying to make a Michael McCarron just as dangerous offensively with some scheme is the same thing that can make perennial 40 goal scorers look like they have no clue what to do with a puck during a hockey game.