Frozen Island
In DDH, this is Solus island, the setting for the story. It's wet, cold, and frozen. Does the job.
In EAS, this is less clearly used as an ingredient. I think that this is meant to be covered by the Iceberg, which is not an island, and that feels like I'm missing something. Maybe it's the way everyone is frozen in an island of time because of the pocketwatch? I'm not sure. I'm going to keep an eye out for something I've missed, but for the time being, this is a strong advantage for DDH.
Last Chance
For EAS, again I find myself having a hard time seeing this ingredient in explicit use. The whole groundhog-day nature of the adventure presents a situation which presents multiple chances at the way things happen and play out -- there are six chances available to the party, each of those chances rolling time back two hours, letting them go over the same ground several times. I found some of the time jump stuff confusing -- more on that later.
Meanwhile, DDH presents a pretty clear last chance - Thomas Middleton, the dying monster hunter has one last scheme to try to use the players to finish off two final monsters that escaped him during his life. Perfectly solid, so advantage to DDH.
Shape-shifting Grifter
There's a LOT of shapeshifting and doppelganging going on in these two adventures. In DDH, there is Alice Tyler who is a shapeshifter, Rachel is a werewolf, Romus is a shapeshifting salt-eater, and Diabla Negra is a shapeshifting demon in Jack Lincoln's form. Of all of them, only Alice really fits the mold of a grifter -- her scam that cleans out the bank accounts of dying patients gives her that attribute and meets the standards of the ingredient, but it never really seems to matter for the story, so it's pretty weak.
In EAS, the player is a shapeshifter, as is Rel, the sea kelpie. Again, it's hard to put the "grifter" label on either of them. The player character is fleeing "heat" on the continent, but that doesn't appear to be important to the story. And Rel is a murderer and avenger, but that's hardly grifting. The best fit for grifter in the story is Jan Kamsra, but he's no shapeshifter.
Since they're both weak, I'm going to call this one a wash.
Professional Killer
EAS has a stated professional killer - Octavius the Skullsmasher. DDH has Romus, the first monster, professional salt-eater and assassin. They're both good.
Unidentified Wound
This was clearly a difficult ingredient. There are mysterious wounds in both entries, and both are eventually identified, but when they're first discovered they're a bit mysterious.
In DDH, the circular wound created by the salt-eater attack is certainly unusual and mysterious. It's the more interesting of the two wounds, certainly -- but in the end, finding out the nature of the wound and what killed Alexander, but knowing about the salt-eater's special attack does not appear to help move the story along. That's not strictly necessary, but stronger ingredient use will make that possibly important to the story.
In EAS, the mysterious wounds are far less mystical -- the wounds created by the hakapik. What I like about this is that the other murder going on -- that committed by the Skullsmasher -- makes a nice red herring, because of the heavy blow delivered with the hakapik to the captains skull. So, while being killed with a hakapik isn't as sexy as having all your salt harvested through your neck, it's more important to the story, so I think EAS has the edge on this one.
Illegal Speed
In EAS, Rider is a drug dealing with a load of drugs to sell -- until he dumps it overboard.
In DDH, the first victim Alexander is a meth addict -- and while that gets illegal speed into the story -- and perhaps a red herring for the investigation with the load of drugs and paraphernalia in his room. They are both minor factors in the adventure, so I don't think I prefer one to the other.
Secret Shop
In DDH, Sara Middleton runs the secret store for monster hunters out of the island's general store., Later, it seems the store is in the old school building, which everyone is fortifying to try to deal with the Diabla Negra threat.
In EAS, the secret shop stretches the "shop" idea a bit -- Faoch "sells" backwards time jumps so the players can try to figure out the mystery again, and the currency he accepts is the secrets of the other passengers. That's pretty fun, and I think I like it a little better than the use in DDH, so we will call this one for EAS.
Ethical Dilemma
In EAS, the ethical dilemma is not as clear to me as I would like it to be. At the end of the entry, there's the description of the alternative solution -- the way Rel might be convinced to save herself by freeing everyone. But that doesn't really feel like its a central ethical dilemma. Perhaps the role of the doppelganger itself is meant to be an ethical dilemma, but I find it all weak for this ingredient.
In DDH, the story ends with a choice put to the PCS -- they can kill their dying friend and absorb the power of the Heart, or they can refuse, which will force the NPCs to go with plan B, and give it to Rachel.
So, that one is clearer and effective, so advantage to DDH.
That gives DDH a one-ingredient edge over EAS. Pretty thin, but it's there.