When does it appear?

I have found a way to bypass my question, but I'll still ask it in case I need it at some point

When is the "Ship Objective met" dësc shown if there are many düdes? Is it shown each time you complete the ship objective for one ship (example: each time you destroy one) or is it shown once the ship objective has been met for all different ships (example: once you have destroyed all of them)?

(my bet is on the second, but I'd like to be sure)

I'll bet on the second one too. I see no reason why it would be the first.

It is shown as all the objectives are met. Meaning, when all the ships are dead.