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 relentless and incessant are strong synonyms which I thought possess a rather negative connotation of rigidity, stubbornness or annoyance.

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 relentless and incessant are strong synonyms which I thought possess a rather negative connotation of rigidity, stubbornness or annoyance.

Edit: Note that I am not looking for alternatives or synonyms. I'm interested in a possible implication of something that may be disapproved of unremitting

I am a non-native speaker.

Think about a man who is sitting besides in wife in 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 unremetting and found that both relentless and incessant are strong synonyms which I thought possess a rather negative connotation of rigidity, stubbornness or annoyance.

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 relentless and incessant are strong synonyms which I thought possess a rather negative connotation of rigidity, stubbornness or annoyance.