If a closer pitches the ninth inning, coming in with a 3-2 lead, and gives up an earned run, that would characterized as a "blown save."
Suppose the run was UNearned because of a fielding error. Is it still a "blown save?"
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Saves and holds, like wins, are wholly dependent on the score and do not account for whether or not a run is earned or unearned.
The save rule's first clause is the one clearly in play here
10.18.a
He is the finishing pitcher in a game won by his team;
The remainder of the save rule defines the context of a save situation. If you enter the game in a save situation and fail to hold the lead then you are awarded a blown save. It does not matter whether or not the runs you allow are earned or unearned.