No one here is using the word parent alone. In the top post they specifically say cat parent. Do you really think that will confuse people? I think you are angry due to personal reasons and are taking it out with people that used the word in a pretty clear way.

No one is broadening anything. People don't say "I have two kids" and then show you cats, they say "I have two cats, they are my lovely kids!". It's not confusing.

If you are annoyed that your family members compare your kid with their cat, as another user told you that's a conversation between you and them, that isn't happening here, there's no need to introduce drama where there's none.