Those fish did not starve to death. If you look at the recent history of the tank it is very clear that the most likely vector for pathogen introduction is a recent fish addition, likely the flame angel. I'd be very willing to bet that Amyloodiniun ocellatum was the culprit here. Those mortalities happening ten days or so after introduction of a new fish are very much in line with Amyloodinium lifecycle. In all likelihood the thinness of the fish you noticed was due to significant disruption/damage to the gill lamellae from the Amyloodinium, which can lead to rapid dehydration within hours.
With this disease you typically do not see a lot of the visual indicators you see in a lot of other common pathogens, no visible spots, no heavy mucous, no lifted scales or defined lesions. Typically eractic/nervous behavior, increased respiration/labored breathing, loss of color and off feed are the best indicators of Anyloodinium. Unfortunately all of those signs are also early indicators of a lot of other pathogens as well.
While buying from a reputable dealer will help you hedge bets against an incident like this, it is still very risky not to QT fish. Even a fish from a store that is as careful as possible can still bring something in. I QT all fish at my facility, however I still suggest all my customers QT the fish. QTing is Cheap and easy.
At this point your best option is leave the tank fallow for 3 months before reintroducing fish.
Very sorry to hear about this. Best of luck. Please QT