The President Can't Stop Madam (2022)

Both FLs pretend to be mentally disabled/ill in order to achieve their goals, both MLs are wealthy men who take them in, unaware of their motives.

Both are vertically filmed fast paced mini dramas with a FL set on revenge and a cold CEO ML.
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Both are mini dramas in which the FL was believed to be mentally ill, abandoned on an island, and then rescued by the rich, troubled ML. Both are hiding secrets from each other.

Both are mini dramas with a possessive/violent ML and a FL who assumes a false identity and must deal with her abusive family/people who took her in.

Both are short length vertically filmed dramas in which a wealthy man finds a woman he believes is mentally disabled/ill and brings her home with him as a key piece of his plot in revenge or protecting himself against his family. Both FLs are revealed to have secrets and goals of their own. The MLs refer to the FLs as "little thing" for the first part of the drama.