I am a non-native speaker.
Think about a man who is sitting beside his wife in a hospital all along. Would
unremitting be unsuitable to describe him?
The whole night through, the man sat unremittingly beside her.
I am asking because I looked up the definition for
unremitting and found that both
incessant are strong synonyms which I thought possess a rather negative connotation of rigidity, stubbornness or annoyance.
Note that I am not looking for alternatives or synonyms. I'm interested in a possible implication of something that may be disapproved of