This is the 2864th most frequent German word.
vermeintlichen
"Vermeintlichen" means "supposed" or "alleged" in English.
Here, 'vermeintlichen' is used to describe the evidence as perceived or assumed to be true but not confirmed.
Die vermeintlichen Beweise erwiesen sich als falsch.
The alleged evidence turned out to be false.
In this context, 'vermeintlichen' implies that the person was thought to be the winner until further verification.
Ich traf den vermeintlichen Gewinner des Wettbewerbs.
I met the purported winner of the competition.
Here, 'vermeintlichen' refers to the advantages that are assumed or believed to exist, but whose validity or effectiveness is in question.