Basically if you get first floor cannon you can use the "Jack gate" behind it that connects straight to second floor and right there you have a gate that connects straight to 3rd floor and RIGHT THERE you have a lever for ferris wheel to 4th. So with two gears you can make it to 4th floor in under 3 minutes. Not to mention that if you do get cannon 1st floor, it has like 90% chance that a gear will spawn next to the cannon. Of course you don't use it for the cannon and just use it on the gate behind it.
Now compare that to 2nd floor cannon. If you get cannon on 2nd floor you will have 3 hammers on 3rd floor, arguably ALL of them with walkable distance from each other. Unless the magician is sleeping or your team perfectly splits all 3 at the same time [for two of which you need a gear btw to even access it] then you are just good as dead.
Also, even more painfully, if the magician is aware of the ferris wheel on 3rd floor [that connects from all the way 1st floor Jack gate; see how insane it sounds], sure they can play around it. Until they realize 2 ferris wheels spawned on 3rd floor and he can just go play tick-tack-toe and watch bunnies escape. So really, depending on the RNG, in 99% of the games it's either gonna giga swing for bunnies or for magician.
Can we get fixed RNG of 1 hammer - 1 wheel and not have 3 hammers or 2 wheels on 3rd floor. Thanks!