The bridge is a venue for a role-playing event. It is not a "everyone takes a turn randomly jumping the ship into hyperdrive" arcade game. It is dressing to the story that is unfolding.
In any other LARP, the gamemaster would announce that hyperdrive has been engaged. And if they're big into props, might shine a spotlight onto a mirrored ball for 'the effect.'
And if someone told the gamemaster they wanted to just randomly activate the hyperdrive, they'd be told that a bridge attendant intercepted them and scolded them for being so reckless, or, that nothing happened because the hyperdrive needed to recharge.
On the Halcyon... you don't need a mirrored ball. And there will be in-game reasons why the five year old won't be able to yank a starcruiser in and out of hyperdrive every two seconds.
Honestly, I don't know why people are devising the most absurd 'possibilities' and then criticizing the event for allowing the stuff they just made up in their head.