Both are gap gap romances where one is working for the other (the FL is tutoring the ML in HKWSHNYH and in FTMY the ML is in a contract marriage with the FL). Both MLs are younger, warm personalities, and fall in love with the FL first, earnestly pursuing her even as she keeps her distance at the beginning.
Both are short dramas in which the FL is a strong-willed, somewhat over-bearing CEO and the ML is a younger, sort of sweet and gentle man who she forms a contract relationship with (as a husband or assistant) for her own purposes. Despite one having fantasy elements, both dramas have a similar vibe.