You get rewardbox regardless of quest. Totally separate things.
Apropos Ghost Ship guildies now reporting they get 2 ghost ship quests, one that is waiting, one not. (Mine turns over on Wednesday)
Looks like this: https://prnt.sc/q5a6al
Based on discussion now in guild, seems like there's a one week delay on them for some. Regualr part can be done but waiting sticks around until time's up next week.