Both are light historical/fantasy dramas with endearing FLs. Both FLs have an illness and are involved in matchmaking (either for themselves or others) as a result of their illness. Both dramas have a similar feel and tone.
Both are set in a historical/fantasy world which is a mix of ordinary people and people with special/supernatural abilities, and the main couple is one of each. Both FLs have a chronic illness.
Both lead couples have a fated and magical past connection, in which the ML was saved, magically tethered to in some way, and dependent upon the FL in some way he's lacking since then (hearing vs. existing/people remembering him.
Both are fantasy/historical dramas with a similar feel. Both FLs have a heart condition which means they have to be careful about falling in love/becoming involved with the ML.
Cross dressing Female lead going to an elite school for men. A lot of hilarity and sweetness as she forms friendships and eventually romance. Great chemistry between the leads!