The word can have a different connotation in different contexts.
No negative connotation was intended by using the word "short."
The history of the authority shows it to be incapable of policing cloning, which could have sinister connotations.
To avoid the connotation of correctness, I would use the word principles rather than rules.
Typically, the word "home" has a positive and warm connotation.
By using a word with a negative connotation, Jenny's graduation speech took an unpleasant tone.
The word nasty has such a negative connotation; you probably don't want to use it when describing your sister-in-law.
To make her excuse sound better, Alexandra used a word with a positive connotation.
Using a word with a negative connotation causes your writing to sound opinionated.
If you are writing an informative article, try not to use words with a negative connotation.
This use of the word "prince" - which has in England so lofty a connotation - to translate foreign titles of such varying importance and significance naturally leads to a good deal of confusion in the public mind.
When texting, it is best to not use a word that carries a negative connotation so that you do not start an argument unintentionally.
People typically describe their enemies with adjectives that carry negative connotations.