I had to read this like 24 times to make sure I didn’t miss anything, but I’m 98% certain you’re correct. When referring to the individual components it should be chlorine not chloride. I’m not a chemical doctor, but this is my understanding.
Horrible at chemistry, but I’m 98% sure it is chloride - the chlorine is present as an anion, and as such is called chloride. Even if you refer to it as an individual component, you still observe Cl-, not Cl (or rather Cl2).
No, the element is chlorine. Chloride denotes a compound or molecule containing a chlorine ion, or a compound with a non-charged chlorine atom bonded.
This whole thread is very pedantic but in chemistry when someone refers to chlorine, they are usually referring to Cl2. I think in IUPAC naming chloride is reserved for for ions. Like dichloromethane (IUPAC) and methylene chloride (also common name).