No, my suggestion was to create separate user accounts on the shared computer for each person--i.e., each person logs in to the computer with their own user account. That would make all of the website logins separate for each user, without anyone having to switch profiles in their browser.
However, I apparently misunderstood your problem; you don't want everything separate, you just want gmail separate while still sharing Chrome profiles. You're right that my suggestion won't solve that problem.
No, my suggestion was to create separate user accounts on the shared computer for each person--i.e., each person logs in to the computer with their own user account. That would make all of the website logins separate for each user, without anyone having to switch profiles in their browser.
However, I apparently misunderstood your problem; you don't want everything separate, you just want gmail separate while still sharing Chrome profiles. You're right that my suggestion won't solve that problem.