That sentence is somewhat unnecessary as I wouldn't have posted that unless I believed it to be true. The rest of your post is valid enough (in fact extremely helpful) not to need to such a prefix.
Anyhow, I'm not out to start an argument and I genuinely am grateful you have corrected me because obviously I wasn't aware of the "public" option in the cache-control header and this is something I can actually put to use right away.
So thank you for the correction :)