The tenses don’t add precision, IMO. There is a plural them instead of him/her but it sounds the same as the singular him/her. There is a plural you that sounds different, but there is also a polite singular you that is the plural you.

As someone who speaks both French and English, I’m surprised to see French as leading “information density” language. Most French terms have been incorporated into English. Language tends to be behind on technology terms. Language doesn’t have any noticeable difference in short syllable common words to English. It also seems to me that French speakers have an easier time in being vague. I have the impression that English is more precise.