When your airship ends its movement on a village, you may pay 1 objective card to gain 1 objective card and 1 popularity.
You may reveal a completed objective card during your own turn before or after you complete a top- or bottom-row action. If you do, place 1 star token on the objective space of the Triumph Track and discard
the card along with your other objective to the bottom of the objective deck. You can only achieve 1 objective star, unless you’re the Saxon player, who can achieve up to 2 objective stars.
1. If a player completes an objective, their other card is discarded which means the hero ability is no longer available.
2. If the Saxon player completes an objective, their other card is discarded which means they will never get a second objective star.
It follows that: it's impossible for the Saxon player to complete their first objective then exchange their second, right?