Ora et Labora
In Saecula Saeculorum
Arguably more thematic indeed (but you could interpret the existing rule as reflecting that when someone gets attacked they broadcast warnings/news about it across the galaxy...)
But less playable (less practical to implement, and also it will be rather boring for players not involved a battle to have to not watch while the battle is resolved).
You could houserule that players not involved may watch it, but after then after the battle all remaining ships are displayed face down.
OR, and I've been tweaking this for a variant of my own (but it requires a bit of roleplaying):
Players involved must narrate out loud their actions, so those not directly involved may hear about whats going on on the battle, but not see it happening (like it's broadcasting throughout the galaxy).
SO many possibilities!