So I'm farming Dead Ends because I want the Starbird minion... I'm cycling between running it with friends, running it with randoms, running it in Duty Support, and running it with my Trust (the Trust system where I get to choose Scion's fashion).
I've ran it around 60 times in the past few days and I have not seen it drop once. Is it still on the droptable in the final chest? Is it the same drop chance if I go through duty finder, duty support, or trust?
Yes, two ways to confirm this. Both from SE itself.
From the items database page directly. Click here
From selecting the chest in question from the dungeons database page. You can see all the loot any chest may give. Click here
In re: party vs support/trust
The support/trust loot tables are unmodified. However, to simulate running with a party about half the drop slots get randomly deleted.
TLDR the Starbird minion drops more often in a group of players than a trust run. At the start of the expansion I ran that place a lot and finally got one at 30+ party runs. It's like farming a mount from an EX effectively.