Free company airships only have a 5 minute down time so you shouldn't need to worry about when you're taking the fc airship. You can be in there gathering and others take it to farm 210s almost right after.

DoW don't effect DoL by not gathering, but the reverse has a huge effect on DoW. Honestly the best solution to this is for SE to allow DF to be undersized like you can with an FC airship. Or allow members to enter into DF under separate objectives